It blows at idle but not cold? Sound to be condenser fan or condenser coil is dirty/blocked.
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Depending on the severity of the leak the oil level dropping in the engine

in a manual there will be engine oil leaking from the bottom of the bell housing, (there is usually a hole drilled there for specifically this reason)

In an auto (depending on variety of transmission and torque converter ...

sounds to me like the linkage simply came off inside the door......usually a simple fix . HOWEVER the inner door panel must come off to do the repair..(this means the door will have to be opened one way or another.)......it is VERY unsafe to drive a car with doors that cannot open properly in case ...