Re: Brake Light Problem
First of all, this thread will surely be moved to the trailering section. No harm, just warning you.
The fast blinking of the turn signal interrupter indicates a high current draw. Since it happens only with the headlights on, it's almost certainly a mis-wiring job somewhere.
And no, it's not likely to be a fuse if everything works at one point or another and you haven't replaced one.
I would get a DC voltmeter and, with the headlights off, disconnect the van from the trailer and determine which pins on the van's socket provide me with turn signals. You can use the van's emergency blinker to do this. Measure from each pin to a good metal ground and look for voltage turning on and off with the blinker operating. Write these pin colors down...! (If you don't have access to a voltmeter, a 12 volt light bulb with wires connected will do the job.)
Then I would turn the headlights on and see if the pins continued to operate the same way. If so, the problem is almost certainly in the trailer wiring. If not, they're in the van somewhere.
Sorry I can't tell you which color wires provide which services.