Re: Trailer Lights?
First off, do the turn signals and brake light work on the tow vehicle when the trailer plug is not connected? If so, then the fuse and flasher are OK. If not, start there.
Next, make sure the contacts on both connectors are clean and not corroded. Then test again.
If you still have no lights, start with a multimeter or a test lamp, and check for voltage at each pin when you have the turn signals on. You should see voltage on the pin that handles the turn signal for the side that's working. If not, then you'll need to check your wiring harness and connections on the tow vehicle.
If all is OK in that test, get your battery charger out, and a couple of finishing nails. Connect the negative side to the plug's ground connection, then probe the contacts on the trailer side, checking for lights on the trailer.
If still no lights, then you'll have to examing the wiring, bulbs, sockets, etc. Check the bulbs and sockets for corrosion.
A common problem is a poor ground, but since you have running lights, that's probably not the issue.
Eventually, you'll track down the problem.