Yes I'd vote for the multi function switch, or the wiring to it. That's what my Burb did a few years ago, and replacing the switch fixed the problem. Third brake light worked, but the two main ones didn't, and no turn signals either.
And the trailer connector harness can have problems too. That's why I don't have one on the Burb right now. The part between the factory harness halves was fine, all the truck lights worked. But no power to the trailer plug....will order a new one from RA next paycheck. Don't need it till October now, no swap meets before then.