I’m not a mechanic so grain of salt this, but I have a 2013 Dodge Caravan that has climate control issues sometimes. Sometimes the vents will blow the opposite of what is selected on the climate control dial, i.e. hot air blowing out of the vents when its set to AC in the summer. Its some sort of an issue with the vacuum system and if you turn the blower off and back on a few times it usually clears itself up.
I don’t know if this will help you and its definitely not a permanent fix but its probably better than spending a bunch more money on a 10 year old car.