"Courts within a given District and Circuit are bound by precedents within their own Districts and Circuits, respectively."
I'm pretty sure I didn't make a mistake here.
The decision of one district judge does not bind another district judge in the same district. In the Mariel Boatlift cases, the U.S. District Court for the Southern District of Florida sat en banc precisely to avoid the problem of inconsistent decisions.
The decisions of one federal appellate circuit are not binding on other federal circuits. There are frequently conflicts, even amongst panels of the same circuit. These are first resolved by the circuit court sitting en banc to resolve the conflict. If there are conflicts among the circuits, these are resolved by the Supreme Court. The Supreme Court is not obligated to take these cases and sometimes the conflict is resolved by Congress passing legislation adopting one circuit court's view over another.
These are ancillary and non-essential points to your main argument, but are easily corrected. Pacer can be made better, (criminal cases are generally not included; why?) but lawyers simply do not need Pacer to research substantive or procedural federal law.