13. Is it true that the Chief Justice of SCOTUS appoints all the judges to the FISA court?
If it is (and that's what I've heard recently) then it really isn't Congress that runs the court. It's SCOTUS, actually the SCOTUS Chief Justice that pretty much controls the FISA court.
I suppose that Congress could amend the legislation that created the court in order to transfer appointment power to the executive branch but that isn't likely to happen in the current scheme of things.