Lights crazy with Headlights

Here is the problem i am having. My 16 foot travel trailer brake lights, blinkers, etc work completely fine when my TV headlights are not on. As soon as i turn my headlights on, none of the blinkers work, no brake lights, i just get 3 solid lights on top of the trailer (that are indeed running lights) but no other light functions work.

My initial thought is open every light and look at the neutral wire in them to see if maybe one is bad. Any other opinions would be very helpful.

Thanks!