X2 with Bones. Problem sounds like you might have a bad relay or blown fuse in the 12V Battery Power hot line on the vehicle. New trailer, so I doubt you'd notice if the "hot" 12V charge line wasn't providing power to the trailer battery.
When the vehicle key is off, power is supplied through the 12V Battery Power circuit only. Best way to confirm is by checking all connections on the truck with the key turned off. Since you're having problems with the marker lights, turn the vehicle lights on during this first step. Even with lights turned on for the vehicle, the only connection that should light up is the 12V Battery Power pin. Now go back and turn the key to the on position and re-check all of the pins on the truck's connection point. The Tail and Running Lights pin should now be hot and I'd expect that your 12V Battery Power line is dead.
Attached a few images to help with diagnostics. Best image I could find was for a 2006 King Ranch, but it clearly shows relay #301 as the hot lead to trailer battery.
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