Check all the trailer wiring, especially any nap-on quick connectors like the ones that connect the trailer wiring harness to the taillights. These are funky when exposed to salt water. I use heat shrink over a soldered connector because of problems with those connectors.
Also, the "submersible" trailer lights you get a Academy that have a coated bulb will fail. The bulb will pop if it’s hot and you dunk it in cold water. I got some good water proof trailer lights at Magnum trailer. The bulb is enclosed in a plastic housing about the size of two packs of cigarettes so that water never contacts the bulb. Replacement bulbs come in those enclosures.