Re: still trying to figure out my wiring issue....
Hi ngt,
I think we have some nomenclature confusion here

. When I say "park lights" I mean "tail lights" or "running lights". Must be a pacific NW thing

. You must have a newer car with automatic headlights. No way to turn the park lights....er I mean tail lights on without the headlights coming on also and vice-versa.
First off, does your car have separate brake and turn signal bulbs? or do the brake and turn signals share a single bulb? If they are separate then there has to be a converter box in the car somewhere to convert the separate brake/turn signals of the car, to the combined brake/turn signals of the trailer. So you'll need to remember that for later.
So I would say "the beginning" would be connect your test light to a good ground on the car with a long jumper so you can reach both the battery and the trailer lights at the same time. Check to make sure the test light lights by touching the positive battery cable. Then with the headlights off and the right turn signal on, go to the right trailer light socket, (make sure it has the correct style of bulb, two filaments/two contacts on the base) check to make sure that the correct filament is blinking. remove the bulb and make sure you have power (blinking of course) at one of the contacts in the socket. Put the bulb back in, now turn the headlights on. Assuming all the right side trailer lights are now inoperative, remove the bulb again and make sure you still have blinking power on the same contact that you did before and that you now also have solid power on the other contact. if you don't then you need to backtrack back to the trailer light connector and into the car and see where power is lost. This is where the question of whether it has a converter or not comes into play.
If you do have power then the next thing to do is put the bulb back in and touch your test light to the base of the bulb and see if you have power there (this
should be ground and so you should not). If you don't then you need to backprobe the tail light and turn signal wires and make sure you still have power at both (usually brown and green) with the bulb plugged in. If you do have power at the brown and green wires and no power at the base of the bulb then you have a bad bulb.
If you have power at the base of the bulb then the next thing to do is backprobe the ground wire coming out of the socket (usually white) and check for power. No power = a bad socket. If you have power then you need to trace the ground wire/path back to the trailer light connector and see where the power gets lost.
I prefer a dedicated ground wire from all trailer lights back to the trailer light connector. I don't trust the frame of the trailer. Too many places where connections can corrode and/or fail. Good luck
Cheers.................Todd