Guy opened my car door got in and punched me in the face

Honked at a guy because he almost ran into me on the highway. We ended up taking the same exit about 10 miles ahead and he brake checked me on the exit ramp and kept doing it and stopping on the road a few times. I let him go ahead and kept my distance but eventually we ended up next to each other again where he kept trying to get me to crash.

I ended up overtaking him and finally thought I was in the clear. A few miles ahead at a signal light he pulled up next to me (I was in the right lane, he was on the shoulder or a curb, he opened his door hitting my car, opened my passenger door hitting his door again and climbed in, cursed me out and punched me in the face and fled. There is damage to my door.

A witness has a video of him getting in my car. I have a dash cam of him being aggressive. Cops took a video of my face from where I was bleeding and swollen. They have the plate of the car and know who the owner of the car is and went to his house but he wasn’t there. I have footage of what he was wearing, the car, his voice from him yelling at me, but possibly not his face (haven’t gone through all DashCam video yet). He pulled onto a bank parking lot before fleeing and got out of the car at a light before the incident, he also had a convertible so his face was visible without him getting out of the car. I’m assuming the bank has exterior cameras.

There is damage to my car and damage to my face. What are my next steps here? Is this a “lawyer up” situation?

Location: NJ