I just replaced the brake light switch on my 96, since I kept getting the "Service Engine Soon" light for a brake fault, intermittent operation. If you have the Haynes manual, the instructions are on page 9-20...the index does not mention this task. The switch is located on the brake pedal arm above the brake pedal pad. If you need to replace the switch, depress the brake pedal fully and turn the switch body approx 30-deg counter clockwise (to the left). It will pop right out of the switch mounting bracket. Carefully remove the connector by prying on alternate ends with a screwdriver. Be careful not to damage the connector. Look at the arm where the switch is mounted, make sure it is not bent (mine was). If bent, carefully straighten it out.
The new switch will have the plunger protrude much farther than the old one--that's a feature, not a bug. Do not try to push it in, the correct plunger length is done during the pedal adjustment. To install the new switch, plug in the connector and make sure it's fully seated. Press down on the brake pedal as far as it will go, insert the switch into the mounting bracket. A key tab and mating slot on the mounting bracket will align the switch. Turn the switch to the right (clockwise) about 30-deg to lock it in place. Release the brake pedal and carefully pull it back all the way...you'll hear a clickclickclick sound as the plunger ratchets into the correct length. Check to make sure the brake lights work.
The brake switch is part of the power train control system and feeds information into the PCM (Powertrain Control Module) to turn off cruise control, downshift, etc during braking.