Brake and Reverse lights not working

Sounds like the turn signal switch to me, too. The brake light current has to go through the turn signal switch; otherwise when you're braking during a turn, your brake lights would stay on during the turn, overriding the turn signal. If you have juice coming out of the brake light switch, see what you have where it comes out of the turn signal switch. And remember, a high-mounted 3rd brake light's current does not go through the turn signal switch, so if you have on of those, and it is working but neither side signal is, then it is almost certainly the turn signal switch.