First I am not a Pro. I would check the fuses/relays first, swap a relay with another the same. I'm not familiar with Luminas either. Normally there is a pressure switch some where on the system, maybe on the accumulator, that keeps the compressor from coming on if it is low to protect it from burning up. You can take a piece of wire and jumper it so it will turn on. Or like the Cadillac I had threw a code. I cleared the code and the compressor would cycle on and off long enough to get some coolant in it till it was full without throwing the code again. It didn't last long as my compressor seals were leaking.
More than likely you have a leak somewhere. Look at the compressor,the high and low service ports, for oily, green color on it. I put a new compressor, accumulator, orifice tube (saved tons of money) and took it to a shop and let them put a vacuum on it to draw all the moisture out and test for leaks. Then he filled it for me for $100.
My Jeep is leaking on the compressor case seals now. So this is in my future.