Look in all junction connections, outlets and panel for loose connections. Check all junction connections from the shore connection entry to the panel, bus bar, breakers and everything downstream. If all connections look good ohm each hot, common and ground throughout the chain of each circuit. My guess is a common, ground or hot is loose somewhere. Less likely but a length of Romex could have a short as well which ohm detection will find. Had a similar problem in a prior trailer when I would plug into a GFI and I found a common wire loose in the microwave outlet. Any small amount of resistance will trip a gfi so make sure everything is tight and not making improper contact with anything. Before doing these tests isolate the converter by killing the breaker that feeds it or by unplugging it. Also disconnect the pos and neg charge wires. Doubtful the converter has anything to do with it but with it isolated see if it still trips the gfi. If it does you know it is solely on the 120v side.