The temperature knob is no longer responsive and does not change or even display the set temperature anymore.

The main issue is the temperature knob not responding on this specific climate control. However, if all the other functions are not responding, then the unit in question is most likely experiencing total power loss.
 
Checking fuses, and wiring would be the first step. If you're still having issues with the climate control, we can do a bench test and check if there are additional issues other than the temperature knob not responding.