The accident happened in newark, delaware. When I was going in one of the aisles of the private parking lot someone passed through the parking lot across the parking aisles at a relatively high speed. I expected him to stop as he was moving through the lot but he just passed by me from right side to left side. I hit him on the passenger side. My bumber and head lights are broken. On the spot of the accident he accepted his complete fault and agreed to pay for my damage through his insurance company. He told me that he could not see properly and thought he was going on the parking aisle. It was snowing on that day. He insisted me not to call the cops and told me that he had already 4 or 5 tickets and if he gets one more ticket his license might get cancelled.
I called the cop. The cop said that as it is a private property parking lot he cannot write any report of the accident and told us to deal with the insurance companies regarding the claims. The cop also mentioned that he cannot say whose fault is it as there are no rules in the parking lot. This person took advantage of the situation and mentioned his insurance company that it was not his fault. His insurance company is asking me to go for the 50-50 settlement where my insurance company will pay 50% of his damages and his insurance company will pay me 50% of my damages. I rejected the offer. There were no witness for the accident. My car has $2000 damage. I have only liability (no collision). Why should I accept the fault if I am going on the asile? Can anyone please suggest me what should I do?

