That's a common theme with such reports these days, BTW. The numbers quoted can be scary at first, but looking at the bigger picture they often turn out to fall into the margin-of-error/statistical-noise range - a bit disconcerting, maybe, but not something to get too worked up about.
What's more interesting to me is usually what's left out of such reports. For example, there are claims that while ice may be melting around the edges of Antarctica (at least in certain parts of it), a lot of that may just end back up as snow in the interior instead of actually staying in the ocean. And while "warming waters" might be caused by climate change, they might also be due to geothermal activity in and around Antarctica - undersea thermal vents and such. The continent itself should have about the same level of volcanic and geothermal activity that any other continent typically has, which of course ebbs and flows, but it's generally hidden from view under all that ice.
Assuming these estimated 2,700 Gt (the rounded 3 trillion) have not been steadily replaced by new water on top of the ice sheet  the reported loss amounts to a mere 0.01% of the total ice sheet.
I don't see cause for panic.
On the other hand 20,000 years ago was the peak of the last Ice Age. Sea level was 120m lower than today. There was more ice in the Northern hemisphere's ice sheets than there is in Antarctica. We happen to live in an interglacial, one that is not even as warm as the previous one. It is far more reasonable to fret over the coming return of the Ice Age than to panic about minor variations in a warm, agriculture-friendly climate.
Further, another NASA study indicated in 2015 that the Antarctica ice sheet is growing (not shrinking) by almost 0.01% every 25 years. Did you panic over that report? More generally, is there a specific, perfect, fixed amount of ice that should be in Antarctica? has there ever been? by what standard?
that's sort of definitional, but what might be 'coastal regions' 50 years from now might be somewhat different than today.
> the worst-case scenario — of seas rising nearly 4 feet due to Antarctic ice loss alone by 2100 — assumes that very high emissions continue for carbon dioxide and other greenhouse gases
For friends looking to buy coastal property on ~30 year loans I advise that they need to be able to sell those properties some decades out from a more general concern / awareness of the risk.
That's really, really fast.
But the repercussions, like economic downturns, loss of friends and relatives, climate change created phenomena, food and water shortages, diseases on the raise, and so on, will affect everywhere...
This assumes a linear rise of 6mm/year.
So in the next 10 years sea level would rise by 6 cm (just over two inches; I understand there are twelve of those in a foot, so we're not talking "feet" until 102 years from now).
"More thoughtful and effective disaster policies are needed because the future will bring many more weather disasters like Hurricane Harvey, with larger impacts than those of the recent past." (From your own link)
Antarctic Sea Ice Reaches New Record Maximum (2014) 
NASA Study: Mass Gains of Antarctic Ice Sheet Greater than Losses (2015) 
etc etc etc
> While the Antarctic sea ice yearly wintertime maximum
extent hit record highs from 2012 to 2014 before
returning to average levels in 2015, both the Arctic
wintertime maximum and its summer minimum extent have been in a sharp decline for the past decades. Studies show that globally, the decreases in Arctic sea ice far exceed the increases in Antarctic sea ice.
"We’re essentially in agreement with other studies that show an increase in ice discharge in the Antarctic Peninsula and the Thwaites and Pine Island region of West Antarctica" ... "“Our main disagreement is for East Antarctica and the interior of West Antarctica" ... "If the losses of the Antarctic Peninsula and parts of West Antarctica continue to increase at the same rate they’ve been increasing for the last two decades, the losses will catch up with the long-term gain in East Antarctica in 20 or 30 years -- I don’t think there will be enough snowfall increase to offset these losses."
"Sea ice" from the titles you quote is just a subset of "ice" and "extent" is just one dimension of all its presence, and there's constantly less total ice (minus seasonal variation). Your title selection misuses some people's unawareness of the difference.
If the melting ice of Antarctica contributes only 0.3mm per year to the annual 6mm rise of sea levels, what exactly is causing a 20x larger change?
On the other hand a NASA study published in 2015  indicated that Antarctica has been steadily accumulating ice, thereby "taking 0.23 millimeters per year away... If the 0.27 millimeters per year of sea level rise attributed to Antarctica in the IPCC report is not really coming from Antarctica, there must be some other contribution to sea level rise that is not accounted for."
Antarctica's contribution to sea level rise per year is fairly small. The largest portion comes from loss of land-ice like mountain glaciers and snow pack. Mass loss from the Greenland Ice Sheet is also substantial, contributing about 2.7 mm/yr to sea level change. Groundwater withdrawal is a measurable component of modern sea level rise. Aside from these mass-transfer mechanisms, there is also ocean warming (water generally expands as it get warmer) and salinity changes that don't affect the amount of water in the oceans, but do affect its volume. Loss of sea ice (which floats on top of water and is not supported from below by solid earth) does not contribute to sea level change, as the sea ice is already displacing an amount of water equal to the amount of ice doing the displacing.
That 2015 Jay Zwally paper should not be taken as truth, as there are substantial reasons to doubt the impact of the findings. In that paper Zwally uses a set of satellite laser altimeters operating over different epochs and neglects to co-register the different platforms in an intelligent way. There was actually major hubbub around that paper and most glaciologists recognize the claim that "Antarctica is gaining mass" is probably incorrect. Zwally has a pretty big ego and was happy to get the publicity anyways.
Where did you get that Greenland contribution rate?
Something is not right. Either ice melting has been contributing 4mm/year to recent decades of sea rise, or the contribution is slightly negative (in the largest ice sheet, over Antarctica). Thermal expansion of ocean water on its own does not adequately explain it.
 Contributions to Global Sea-Level Rise https://www.nap.edu/read/13389/chapter/5
One could dogmatically down-vote, or one could provide references to scientific discussions that cover the contradictory stories... You know who you are.
Check page 291 for an overview of components and time lines. This is still the current scientific consensus AFAIK (no major updates).
The estimated contribution to sea-level rise by thermal expansion of the oceans is 1 mm/year.
It's still not clear how this amount plus the measured contributions of Greenland (under 0.5 mm/year) and Antarctica (0.3 mm, possibly -0.2 mm) somehow add up to a predicted 6 mm/year (or even to a measured 3 mm/year trend).
1. Every time you burn a hydrocarbon, in addition to CO2 you also produce H2O. The ratio varies, but in general all of the hydrogen atoms will burn off before all of the carbon atoms do, since carbon-carbon bonds are fairly strong. (This can lead to things like soot.) Much of the water produced ultimately ends up in the oceans.
2. For decades now we've been pumping down aquifers at a fast clip, and that water ultimately ends up in the oceans, too. Natural aquifer replenishment rates may be fairly slow, if they ever replenish at all (the oldest, deepest aquifers may not) and the land-use changes we've made (paving and construction and such) slow that process down ever more.
3. Water from deep subterranean sources maybe be leaking into the oceans via undersea vents and such; this can also lead to bottom-up warming. Ongoing isostatic rebound from the loss of ice mass over the continents may be increasing these factors.
As to ocean warming itself, in general top-down warming only occurs within the uppermost layer of the ocean. (Oceans are dynamic things, of course, so some deeper flow and mixing does occur.) But that top-layer warming is also heavily mitigated by evaporation, where a great deal of the potential heat energy rises up with the water vapor and is eventually lost to space; meanwhile the water itself eventually returns. The clouds produced as the water vapor condenses and loses its heat also mitigate further warming.
If we're cooking up stories, how about this arbitrary "explanation": Phytoplankton are plentiful. They're reproducing and dying and sinking in such vast quantities to the ocean floor that this floor is steadily growing a new layer, at a rate of a few mm per year. Hence the apparent sea-level rise, relative to the continents. The accumulation of biogenic sediment is accelerating with the rise in atmospheric CO2 because CO2 directly feeds the plankton.
I consider the first type a form of education-induced brain damage, BTW. And while I'm fairly well-educated myself, I've never been the type who needed the "crutch" of a study in order to figure fairly obvious things out.
I don't remember the details, but I did once try to do the math on the whole CO2:H2O thing, since I hadn't seen it elsewhere. Estimated CO2 emission numbers are routinely published (to the extent that these can be trusted), and I started off with the simplifying assumption that CO2 and H2O are generated in equal amounts. This led to a small but real potential effect on sea level rise. (Although when I once discussed this in another forum some years back, someone there tried to insist that all of that water vapor just stays in the air - which I thought was rather bizarre!) But when I tried to make a more realistic assessment of the situation, I realized just how variable things could be (see examples below), and that I really had no good information to go on. Any numbers I came up with could vary widely based on my starting assumptions, so they weren't really worth very much in the end - kind of like the way so much "climate science" is done today! :)
CO2:H2O production ratios, if fully oxidized. If not fully oxidized then the CO2 numbers drop and soot is produced instead.
These are for very simple organic molecules. Once you get past a handful of carbon atoms the number of potential molecular configurations and corresponding ratios starts growing dramatically, and for something like coal the situation can grow extremely complex.
I know your phytoplankton comment was meant as sarcasm, but such things might actually have a real effect over time. (You should probably do the math!) The buildup of organic matter, minerals, sediments from erosion, and "rocks" and such might very well be noticeable. Remember that, if land-building forces were to basically come to a halt, then eventually all of the continents would pretty much just erode completely away, leaving not much more than an Earth covered in seawater to some average depth.
Estimates for biogenic sediment accumulation ranges up to 5 cm per thousand years -- two orders of magnitude smaller than current prediction of the rate of global sea-level rise.
A transition away from coal and towards natural gas (which consists primarily of fully-combustible methane at a ratio of 1:2) should lead to both an increase in H2O output and a decrease in CO2 output as compared to coal. (A recent local power plant transition from coal to natural gas claims a carbon emissions reduction of 60%.) Using your 2.5% number, water vapor is already about 60x more common in the atmosphere than CO2 is at 0.041%, and I've seen estimates that it is probably about 15% higher now than it was in the past. (Presumably any H2O output above that has ended up in the oceans.)
Given that as a greenhouse gas water vapor is at least 2x (IIRC) as powerful as CO2 and apparently also increasing at a steady clip, you'd think that folks would be paying more attention to this, but instead they just tend to ignore it. In fact they just like to ignore water vapor completely, except maybe when it leads to clouds and such.
and to stop subsidizing meat and dairy production and associated crops (corn, soy).
In other news: you breathe out a bazillion molecules of carbon dioxide every breath!! /rant