AC turning on and off / 1999 Chevy Suburban

I need help in this 105 degree Houston weather. I drive a 1999 Chevy Suburban with front and rear ac. My front ac turns itself on and off through out the day BUT the rear ac is not affected by all of this. When the ac shuts off, the lights on the unit stay on as if it should still be working.

So your problem is not that you are losing your AC its that you are losing the front blower?