Auto body shop lists improper parts

I love on Long Island NY . I dropped a car off for repairs from a parking lot hit. Hood , grill bumper. Insurance adjuster went , looked and 4 days later my insurance company calls says ok $10,500 in damage. No one from the shop called me to let me know anything so i went there and she said they are working on it ? I don't believe there was any where near that in damage . So for time restraints and the owner being away , I leave it there. They claim it needed , headlights ($1246 per) to which I found out from dealer they are. $668. And that's from the dealer ! Amongst research of part #s on invoice several items listed said " does not fit vehicle" when search for my exact vehicle , items where cheaper. My insurance company cut the check to the shop directly. How can I get restitution for being over charged on these parts. And also for the adjuster approving an inflated repair estimate. Thank you.