We may need to clear some questions on what you have first?
Are you saying the RV had a 6 pin connector mounted on it, not a 7 pin?
I think of the 7 pin as "standard, but that is certainly open to other options! I may have misread what you are saying!
Sounds like the install was not correct but that may need checking, also? When dealing with RV, this is the connector that I expect to find:
I might start with making sure the connector on the RV is working as it should by testing all the points for voltage on each pin as that specific item is operating?
When left turn signal is on, there should be voltage on the pin for left turn, brake the same as you move to test each point as well as the ground. I would do this with the tether disconnected to keep confusion down as to which is the problem RV, tether or trailer.
Then when RV is correct and sure it is giving the correct voltages at the correct time and pin, I would move to adding the tether, test it and finally add the trailer.