Yup. OP whatever you do, don't try to defraud the dealership. If you can get the daughter or the father to file the claim that is wonderful. Second option ask for refund (full or partial to cover repairs). Third option have it repaired on your dime.

Saying you are someone you are not is a bad idea, especially when the value of the item exceeds $500. By UCC that should be a felony.