Mazda 3 A/C behaving very odd

What is your question?

2011 Mazda 3 A/C is acting very odd in several ways 1 A/C will cool air when on and set to any non max fan speed (but not when fan is off) 2 Fans do not blow when set to anything but Max 3 When air is set to not pull in outside air and fan is set to max air from vents is hot 4 Can feel cooled air moving through system when set to non max fan and pulling air from outside(this works even more when windows are open a Crack and more air flow is being drawn through the car) 5 possibly unrelated remote entry key fobs stopped working at approximately the same time AC problem begin both key fobs do have new batteries

How long has your 2011 Mazda 3 had this problem?

A few months