There is a wacky connector in the remote; if you give the chassis a firm twist (without breaking it) sometimes this will fix the problem for a few days.
as for the bad power connector, I have a T3 sitting here all in pieces that I am re soldering the connector on, I will follow this up with a spot of epoxy so it wont break again in the future. These issues remind me of the old T2, I was always fixing those darn things.