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The problem could be with the switch if the contacts have gone bad. If you have a multimeter you should be able to test it for continuity. 

Mine's still working, which is a good thing since I can't find one.:( Guess I'll keep my eyes open for a replacement as I'm sure I'll need one at some point. In the mean time I get to try and figure out why my top will go down but not up on it's own. lol

So this is what I found and did to get my lights off. I was already 99% sure the 3rd brake light would not cause the dash lights to be on, which was true it was not the problem. So knowing the parking brake was working correctly and not causing the red brake light to come on I then removed the ABS fuse in the glove box area. This caused the red brake light to turn off after the car was started but it still turns on as it should during the start up cycle. But the ABS light was still on. I then removed the fuse under the hood for it as well as the discovered bad relay. I then took it out to run some errands and enjoy the sunshine. After a few stops the ABS light went out and I got a much better brake pedal. I was tempted to get a new relay but why bother with it past the point that I'm at now. It stops better then it did and the lights are now off for the first time since I've owned it. I'm guessing it was prob just a bad relay to begin with. Just wanted to give everyone a update. oh my 3rd brake light took 3 891 bulbs. (i went with the leds replacements)

Now that I think about it some more I SWEAR I had this same issue many years ago.  As dumb as it sounds try bleeding the brakes, start with the couple bleeders on the ABS/Master and then go to all 4 wheels.  

Check the obvious things, is the brake fluid level full? is the switch used to measure it working? Same goes for the parking brake pedal, try lifting on that to see if that causes the BRAKE light to go out High mount won't cause any of that on these cars. As for the ABS, yeah you need an appropriate scantool to read those codes. I use both a Tech1 or Tech2 to pull those codes, if you're anywhere near Pittsburgh I could pull them for you. Likely you have a couple separate issues, but on a 93' the ABS light is a non critical light, you just won't have any anti-lock is all.