Before connecting the new battery I would find out if the trailer has a negative ground or positive ground. I have no idea if any RV uses a positive ground but I would find out before connecting anything.
Unfortunately it is pretty common for people to just grab whatever color wiring they happen to have when doing wiring which of course is a bad thing to do. For the record below is recommended DC wiring colors.
US recommended DC power circuit wiring color codes
https://www.allaboutcircuits.com/tex...g-color-codes/
2-wire grounded DC Power System
Positive (of a negative grounded) circuit L+ red
Negative (of a negative grounded) circuit N white
Positive (of a positive grounded) circuit N white
Negative (of a positive grounded) circuit L- black