Kristian, mine is running 19x9.5 +22, all round due to 4wd, pics are in my FB of how they sit. You could go with that on the rear and maybe like a 8.5 +18 on the front.
Looks to be a custom job, manual console with a modified shiter stick, I don't see a button at all so they may have just jammed a round nob on it with it pressed fully all the time.
Ended up being the pump, I think the relay had failed so long ago that it may have been the reason why the pump its self failed. In the end though everything in the rear of the car, attached to the pump mount was replaced. Problem solved.