My air stays on and won't turn off the car will start up but won't stay started

Not likely, The HVAC module only talk's to the PCM so it's aware of the power drag of the AC Compressor. These 2 wires talk on frequencies at 2.5V so even if one of these data lines were at fault it couldn't power the HVAC demands. It sounds more like you have a elect short in the system ground. If so any time you turn on a related system (even thru a bulb) it supplies a ground to a part of the HVAC system and allows the system to run. Along with that depending on where and what is shorted it can cause a start die symptom. If it start's and dies in 1 to 3 seconds and then will not crank over for 2 to 4 minutes it's shorted into the passlock ignition disable system. Unless your able to trace elect. short's or you just get lucky looking around at any exposed wiring or like you've had a radio installed recently, you may what to consider taking it to a pro.