If your car was hit while parked do you have to pay the deductible for the repair?

This would be dependent on the insurance you have. If you know who hit your car and have all of the pertinent information, you probably should not have to pay the deductible. If you don't know who hit your car, and your state and/or you do not have waiver of deductible insurance, then you would have to pay the deductible.