The most common reason for the brake lights not working, if the fuse has voltage coming to it and coming out of it, is the brake light switch. This assumes that ALL of the brake lights are not working, including the high-mounted center light. If the center light works, but the rear lights do not, then the problem is most likely the turn signal assembly.
Here are the instructions to replace the brake light switch, and a schematic of the system, at the end.
REMOVAL & INSTALLATION
See Figure 1
Disconnect the negative battery cable.
Remove the drivers side instrument panel trim panel/sound insulator.
Detach the switch electrical connector.
Remove the switch from the retainer by grasping it and pulling it toward the rear of the car.
Fig. 1: The brake light switch is mounted on the brake pedal
Insert the brake light switch into the retainer until the switch body seats on the retainer.
Adjust the brake light switch, as follows:
Pull the brake pedal upward against the internal pedal stop. The switch will be moved in the retainer providing proper adjustment.
Proper switch adjustment is achieved when no clicks are heard as the pedal is pulled upward and when the brake lights do not stay on without brake application.
Attach the switch electrical connector.
Install the hush panel/sound insulator.
Connect the negative battery cable.
If this helps, please click accept. If you have more questions, just let me know.
Take Care, Greg A.
I just wanted to check and see if you got a chance to check that switch, or if you had any other symptoms you wanted to tell me about?
Please let me know if you have more questions.