Re: Trailer lights.
I also have two side marker lamps that ground on the frame of the trailer and they work. I therefore believe that the trailer is grounded threw out to the plug on the trailer side.
I still have the condition of one side of the trailer light dimming down when the other side has the turn signal on,
I hope you've fixed the problem by now and are enjoying use of the trailer. In case you're still struggling with it, consider this:
The only connection between your side lights and your turn signal is the common ground point and a poor ground can cause this problem.
The fact that the sidelights work does not prove that the ground is as good as it should be. It is perhaps adequate only to carry the current of the sidelights. When you add the current of the signal/brake lights to the current of the sidelights, the ground path may not be adequate if it contains much resistance (eg. corroded connection point(s)). It is a mathematic certainty by "Ohm's Law" that when you increase current flow through a resistance, you proportionally increase the "voltage drop" across the resistance. You may have seen this before on a bathroom lighting circuit when someone starts a 1200W hair dryer. Even though the breaker may not be overloaded, the increased current flow causes the voltage to drop and the lights to dim slightly.
It would take very little time to run a jumper from the ground wire of your signal/brake light to the negative of the vehicle battery and prove whether the ground is bad or whether I'm full of hot air. If you don't have 40' of wire, just use an extension cord and alligator jumper from the ground pins at both ends of the cord to battery and light fixture.
If the condition disappears, start jumpering from the negative post to midpoints in the circuit until you find the bad connection.
One last point: fixing only one poor ground point may improve the system adequately for now, but fixing all the ground points and ensuring they can't corrode in the future with a little touch of grease will be a good investment.
- Grandad (electrician for 45 years, now teaching electrical apprenticeship program)