All of a sudden the message "service stability" came on along with the TC light, parking brake light, and ABS light. I tried to reset, according to the manual, but it didn't work. There's less than 53,000 miles on it. Any suggestions or has anyone come across the same problem?

First check the fuses. Maybe a bad compressor.

Any idea which fuses I can start with?

Does the message say 'service stabilizer' or 'service stability'?
If it says 'service stability', it is referring to the stabilitrak system in your vehicle. Stabilitrak is the system that automatically compensates for over steering and understeering. It may be possible that the stabilitrak module, or controller, in your vehicle needs a software update. There is a GM service bulletin that refers to this condition, bulletin #03-05-25-005.

Check all of the fuses in case something else is related.