Can I inspect my van after it was repaired to make sure they didn't screw me over?
Yes. You have the right to inspect your vehicle at the shop before paying for repairs. However, this does not give you the right to remove the vehicle from the shop without paying for the repairs, or to inspect it in areas where only authorized employees are allowed.
What if I have received a court settlement?
In that case, I'm afraid, restitution through DMV is not available.