What is the problem if there is air coming out of the vents but the AC compressor outside is NOT kicking on and you checked the breaker already and can you fix it?

Assuming you mean a house AC unit. Check the thermostat. Make sure you are getting 24 Volts at the outside unit (small wire) when the AC should be running. If you're getting thermostat voltage to the compressor, then you'll need to find out why it won't work. Don't assume the worst until you've checked out the easy fixes. you probably had a leak and lost enough refrigerant that the compresser wont engage, there is an electrical plug in on the drier that makes contact to the compresser when you turn the a/c on, dis connect it and take a hair pen and jump accross the female end on the wire if the compreeser starts you are low of refrigerant if it doest start you have a bad compresser or clutch, if it starts, only a certified tech. can refill the refrigerant. Since you have checked the breakers, may be you should check the fuses in the disconnect. if there ok you need to check the windings in the motor with an meter to see if you have an open winding or a grounded winding. It could also be your capacitor for the compressor.