Cannot imagine it has anything to do with the A/C clutch.
As far as your A/C, key on, engine off, a/c on, see if there is power to one of the 2 wires on the low pressure switch. If so, jumper them and see if clutch engages.
As far as your A/C, key on, engine off, a/c on, see if there is power to one of the 2 wires on the low pressure switch. If so, jumper them and see if clutch engages.