NJ Accident - Rear ended, at fault driver fled
So on Sunday, I was rear ended by a driver on a 3 lane high way at a red light that just turned green. Was in the middle lane about 4 cars from the light.
Was just sitting there and heard skidding and bang.
Called 911 immediately and we both pulled into the gas station parking lot that was near by thanks to the help of a NJDOT truck that blocked the road. We got out and I told him police was on the way and when we saw that damage was not to bad he was like like "look look" and started feeling my car trying to push the bumper back in. I said "We are waiting" and the guy got in his car and took off like a bat out of hell, and right past the police.
I ran over to the police and told them he ran and the color of the car and they went after him.
So after a 30 minutes of waiting at the scene a police car came to talk to me and the officer said
"we caught him down the road" and on the radio a voice said "uh he is unlicensed" and the officer with me at the scene was like "yeah there seems to be some language barrier since he claimed that you said he could leave, which I could tell is not true since you are still here waiting." I did not get any information about the other driver yet.
So I am waiting for the report to see if the unlicensed driver was him and if there was any insurance on his car to make a claim.
Bonus last night I was flossing my teeth and a large piece of a tooth came out, went to my dentist this morning and he said its possible for it to be related to the accident.
So my main question is, the damage to my car is negligible, so I can wait to see if the driver had insurance on the car correct? But should I file with my insurance as soon as possible now with the future dental work?
TLDR:
Was rear ended at light, driver fled the scene, minimal damage, tooth cracked crown required.
How to handle?