I believe this would be like most GMs from back then. It would use a 194 bulb in a holder on the back of the instrument cluster. To remove the holder, give it a slight twist counterclockwise, then pull it out. The bulb should pull straight out of the holder. I could, however, be completely wrong.
The 1998 Chevy Corvette parking brake can be adjusted with the parking brake adjustment bolt. You can also adjust the parking brake cable.
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Check brake fluid level. Check parking brake switch- make sure it is fully depressed and has not become misaligned.
The red brake warning light is an indication of low fluid, a loss of pressure, or the parking brake being set.The red brake light stays on when the parking brake is set, the fluid is low, or there us a loss of pressure.
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May be a bad master cylinder, a bad sending unit from the master cylinder or the parking brake or the parking brake is not completely disengaging.
Low brake fluid in master cylinder, fault in brake fluid level sensor, parking brake is on, parking brake sensor fault.
ask this question on digitalcorvettes.com in the c3 forum...you will get a good answer
To release the parking brake, hold the regular brake pedal down with your right foot. Push down momentarily on the parking brake pedal with your left foot until you feel the pedal release. If the parking brake is not released when you began drive, the brake system warning light comes on and s chime sounds as a warning that the parking brake is still on.Manual Book page 2-28
the parking brake is either sticking or the sensor is bad This could also be a warning that there is something wrong with the braking system. The light is not only for the parking brake in most vehicles.
Master cylinder low on brake fluid or parking brake not totally released
i have a 1999 grand prix mine did the same thing.it is a warning for low brake fluid. i know cause my car goes through brake fluid like water