Amber AND red "running" or marker lights are all on the same circuit and IF there is a fuse on the trailer (most do not have a fuse) it would have to be good in order for the front makers to light up..
Rules out the vehicle AND a fuse on the trailer if the front ambers are working.
You have either a broken ground or broken marker light wire going back to the rear of your trailer.
Since the Stop/Turn lights are working that pretty much rules out a broken ground since the Stop/Turn lights share the ground wire used for the rear markers.
Pull the drivers side rear taillight and verify if you have power on the taillight marker.
No power there most likely a break from the front to back.
You can follow the TV to trailer cord on the tongue, back to the junction box on the trailer. In that junction box if you are lucky the manufacturer may have run the rear marker light wire to that box. Verify that all wires are connected properly.
You could run a temporary marker light wire from the front junction box of the trailer to the drivers rear tail marker and see if you get results (this effectively bypasses the wiring in between front and rear).
If the temporary bypass works then just find a permanent route to run the replacement wire along the underside of the RV.
Marker light wiring tends to be point to point (from marker to marker) making finding bad wiring a real joy sometimes..