1994 camaro tail light problem

When I turn on my headlights and my taillights come on, all of the passenger side rear lights shine really bright as if i'm hitting the brakes and the right turn signal doesn't blink, it just lights up. The left side lights are ok and the front lights are ok. I replaced all of the bulbs so there shouldn't be anything wrong with them. Could this be a wiring probablem or what? Any help is appreciated. Thank you.

Sounds like a ground problem to me. I would check for a damaged wire if I where you.

try checking the sockets

sounds like a short somewhere...