Hello, I am an attorney and am happy to assist. Nice to see a fellow expert asking a legal question.
If you have health insurance that covers your medical bills, then you don't have a legal claim against the other driver. Such a claim only exists if you have to pay something out of pocket.
In regards ***** ***** to the car, you will file a claim against the other driver's insurance company, which is the same as yours. The insurance company will then have to figure out which policy they will end up charging for the coverage to replace your car. Hopefully that will just happen swiftly and you can replace the car that was totaled, and you won't have to do anything more.
In the event that the insurance company challenges whether he was at fault, then you might have to take the other driver to court to prove he was at fault, so that this does not end up being a claim against your insurance policy. That would possibly make your rate go up.
Hopefully you will file your claim with the insurance company, they will interview him or her who will tell the truth about how the accident happened, and then you will be all set.
Please let me know if you have any questions about this.