I'll make tha assumption you have surge brakes over electric and most boat trailers use surge. Your brakes are mechanically activated by the pressure of the trailer pushing on your vehicle.
As to the lights, check to make dure your fuse in the vehicle is in good shape and not blown. There ia a very inexpensive tester you can find at Wlly World of an auto parts store that is just a connector with some LEDs to check the function of the vehicle wiring.
Next I'd check the ground at the tail lights on the trailer. Some have a seperate ground wire, some use the mounthind studs of the light itself. A inadequate ground due to corrosion can make your lights flaky.
Also, check the connectors along hte harness running the length of the trailer. Many times corrosion will occure at the point the trailer running lights are spliced into the wire running to the tail lights.
I check the grounds throughout the year. Boeshield T9 or Corrosion Control are two products that I've used that really help cut the corrosion at those points. They dry and leave a protective coating. I also use either on the bolts and metal ends on the hosed of my outdrive.
Anther product I use on all my wiring connections on the trailer is Liquid-Lectric Tape. You can find it at Wally World. It's a brush on rubber coating that is an ecellent di-lectric. I coat all the electrical connections on the trailer wiring making them totally waterproof.
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Jvalich
http://www.badcock.com'04 FW 288 Vista "Mental Floss"