Sounds like a no-fault state to me. As far as determining which is primary, health or PIP, ask the auto adjuster. If it's co-ordinated, they'll tell you, otherwise you bill the auto primary.
Of course, there's always that wacko adjuster who tries to tell you it's co-ordinated and you have to bill Medicare as primary, and we have to educate them. Anyway.....

Becki