Your local auto parts store can sell you a trailer plug harness that plugs into the vehicle's original harness that requires no cutting.
It sounds like your power wire matched up with a ground wire on the trailer or vise versa so replace the blown fuse for the marker lights and everything should be good. Check fuses in cab and in engine compartment.
with wires
Check your fuses and look for a dead-short on the tail light wire (probably brown).
check the ground wire on the trailer. if it is corroded at all they may not work. take a file to where the ground wire is hooked up to make sure it is on bare metal
poor ground wire
Check ground circuit Check bulbs they are duble filamented one may be burned out Seems to me there is a wire crossed at the harness. I think the vehicle left turn signal wire is hooked up to the trailer tail lights wire. Usually there are four wires at the trailer harness, yellow, green, white, and brown, The brown wire is usually the tail lights and side marker lights, the white wire is ground, the yellow and green go to the left and right signal lights.
Fuse is blown light connector is unplugged ground wire on trailer disconnected
You have a grounding problem at the trailer. The white wire is the ground on trailer wiring. The taillights are brown, the signals and stops are yellow and green. Sometimes the white wire will loose its continuity with the truck, causing the lights to black out. It could also be a wiring issue with the trailer itself, but most likely its the ground giving you feedback and causing the blackout. run a wire from the ground contact on your plug back to a spot on the tongue and secure the end of the wire to the trailer at that point. Do not rely on the contact of the trailer with the ball hitch to establish a ground.
Probably the functions, running lights, reverse, brake, blinker, and a ground.
Check your ground wire, all the lights must be grounded back to the vehicle.
look up under the rear right under the tail light if equiped you will find a plug with a dust cover on it, you can buy the wire kit for this plug at the auto parts for about 15.00 just plug it in and that's it.
Blown bulb - or loose wire !