Why won't my climate control work?

go to a trusted shop and tell them the same thing. your blend door that controls the temp is probably broke. That's why you have air coming out of vent because the blower motor works fine ( the resistor for that part isn't broke). BUT you could have a heater resistor that is out OR even a relay that is out. Research your fuse box and look for a relay that is either HVAC related or heater resistor related. i'd replace a resistor before I start digging in a blend door.

If you have air coming from the vents only when the vehicle is moving forward, the blower motor is not working. Check to see if you have power at the blower motor. If you do, the blower motor is bad. If you don't, further diagnostics will be required. It could, with no power at the blower motor, be the resistor block, relay, fan switch, etc. as mentioned above. Hope that helps! Jim