The A/C pumps magnetic clutch should not engage when there’s not enough pressure in the system. So you can check it by running. Otherwise you’d need to pull a vac on the system and see how much was still left in there.
If you remove the power steering it’s advisable to switch the steering rack for a manual one because the ratio is different.
As for resetting things; no I don’t think so. Does the car have a stock radio even?
try the valves in the ac system. (where they regass them) Give a little push and if you have gass come out then yep you will have gas in the system. If nothing I would say it has leaked when the damage occurred.
Yes you can remove the power steering pump. Just may need a smaller belt.
Swapping out the rack for a manual one will make the car steer lighter but the ratio is definitely longer. You’ll go from 3.5 to 4.5 lock to lock. Do you can also make a short loop line to connect the in and outputs from and to the pump/reservoir so you can run the quicker rack.