You might take a look at this link, may or may not be helpful. It's not the same system but I suspect they work similarly.
Aux compressor not running My 02 Dynasty Regal has the same problem, it has just been too cold for me to crawl under and look at it yet. I suspect there is something wrong with the compressor or the wiring running to it. Logic would lead me to think if the autolevel is on and the air pressure is below the cut-on limit you should have 12v at the hot wire at the compressor signaling it to turn on, a test light should comfirm if you are getting power to it. If no power then the problem is some where upstream, if it is getting power then its either the compressor or the ground to the compressor. There were some good tips on how to test it by Mike in the link I posted. Good luck!!!!
B