Have an attorney write the person correspondence pointing out the fact that he is liable for his own damages as well as yours. Further, that any contact should go to the attorney and not to you. If this does not terminate the conduct simply ignore it. Your attorney should direct the person to look to his own insurance company to reimburse his damages.
This answer is offered for informational purposes only. It is not offered as, and does not constitute, legal advice. Laws vary widely from state to state. You should rely only on the advice given to you during a personal consultation by a local attorney who is thoroughly familiar with state laws and the area of practice in which your concern lies.
To find out what the other driver said to the police you should get a copy of the police report. There should be a narrative in there where the officer has written what each witness/party said to him.
Also, you should speak with a personal injury in your area and proceed that way. Evidently, the other driver is trying to work the system and get you to pay for the damages he has caused to himself.
Both you and the car in front of you are victims of a hit and run. I assume you do not have any information about the vehicle that hit you. If true, then you should simply make a claim for uninsured motorist and proceed that way.
I hope this helps-
Disclaimer: I am a lawyer licensed in the State of Illinois only, and I am not your lawyer (unless you have been in my office and signed a contract). This communication is not intended as legal advice, and no attorney client relationship results. Please consult your own attorney for legal advice. This is for entertainment purposes only.