The brake light system is pretty straightforward; not much computer control involved. Pretty much the fuse (#19) and brake switch, both of which you've already checked or replaced.
Early model Chargers (with the original anti-lock brake system MK25) had a relay that allows the brake lights to be disabled by the ABS system. After about mid-2005 they started using a different ABS controller module (MK25E) and the relay isn't supposed to exist anymore. But when I look in my 2006 fuse block, I actually have a relay in that location. Take a look at this diagram of the rear power distribution center. Near the bottom left is a relay "stop lamp inhibit." It's a bit of a long shot, but if you have a relay in this location and it's gone bad, it could be preventing the brake lights from operating. Pop it out and see if the brake lights work. If they do, I'd recommend replacing the relay as opposed to leaving it out, although it doesn't appear to serve any other function.
I do have a relay in that spot. I pulled it out and pressed the brake pedal and the lights still do not come on. I'm attempting to diagnose where the problem is occurring, but i need help. If I understand correctly, the brake system goes from the Battery>Rear Fuse Block (#19)>Brake Pedal Switch>Taillamp Connector>Taillamp Bulb. How do you test if the brake pedal switch is good? There are like 6 different wires, and I want to make sure that power is going to the switch, and when the brake pedal is pressed, that power is leaving from the switch. Anybody have a wiring diagram for this?:SM030: