Well, it seems you haven't read the Nasa report that I was referring to. The increase that was measured was not in surface but in mass. Unless the density of the Antrarctic ice is increasing dramatically as well, that means volume is increasing, not decreasing.
The press release you reference, and the paper it grew from, has been echo-ing around HN (and the cryosphere research community) for a while. Last time was two months ago; see: https://news.ycombinator.com/item?id=12796646
Short summary: the study partly conflicts other results, and the mass loss seen in that study may be more due to the limitations of their measurement technique (radar altimetry) versus other techniques (gravity).
Claimer: while not involved in ice mass quantification, I talk regularly with people who do it full time, publish regularly, are leads on space instruments to measure it, etc.
And, like other commenters nearby, I want to caution you on your approach to "skepticism" and "keeping an open mind".
You seem to be selecting one press release from the hundreds released every year, and using its partial conflict with other information to call the whole hypothesis (significant ice melting caused by global warming) into question. That's not a valid mode of inquiry - especially when you don't have the training and time to keep up with current work.
It's like walking into an IC fab and asking why they are not using EUV lithography (it was in this article in Wired!) when you didn't even take a semiconductor physics class in college.
The right place to start, if you really want to get informed, is the IPCC AR5 report (https://www.ipcc.ch/report/ar5/). Reading press releases only makes sense if you can put it into context.
