...(b) report the accident to Hagerty and give them a statement as to the facts of the collision...
Before you have them on the phone, review in your mind how you will answer when they ask (and I am pretty sure they will ask) why you were on the road? &/or where were you going?
You want your reply to be succinct and ready without a long pause that might suggest you're thinking about your answer.
As for getting an entirely new paint job - the insurers are going to be on the look-out for 'betterment'. That said, this might be a time to get the entire car painted (or other work done) even if you have to pay part of the cost.