Because running/parking lights are working and right signal (is trying) it sounds as though new plug was wired in standard 7 pin configuration instead of Lances configuration. The 2 functions noted are in same locations. But the other connections are WAY different.
Multi meter (or light on a wire) shouldn't be difficult to rewire correctly or test to verify. Surprised if miswired not jacking up trailer or blowing fuses. IF you cant get to it Id run camper unplugged? Hopefully you wont need to go anywhere with trailer disconnected. I wouldn't go far without lights.
