Hi
Multiple issues or one common one?
1)Hitch "ground" makes things work
2) Jack does not work on battery / shore power
A multimeter is your friend in these cases. It could be any of several wiring issues. Check each of the possible ground issues out. Start with the trailer off the ball, but plugged into the TV. Is there
12V between the trailer frame and the TV frame with the marker lights on? Do the marker lights even light up with the two unhitched? (= it's not just the jack) If everything *but* the jack works either way, do you have
12V between the jack frame and the trailer frame? (weird if true ..)
Yes, it takes some digging.
Bob