Identification of the dealership is not an issue, you can give as many details as you feel comfortable.
If you feel comfortable with the car, and after checking all the footwells, under the bonnet etc, the dealer MIGHT be prepared to put extra "no questions asked" warranty on the car. In that case, you might have a good deal but it totally depends on the price they are asking for it.
Some cars can go through serious damage without being rated as CAT C or D, especially if the owner decides to pay for the work themselves.