Need advice for car accident

So I pulled into a gas station and came to a complete stop and then realized that there were several pumps out of order, so I put my car in reverse and a guy had pulled up behind me, very close. I was waiting for him to move, but we bumped very lightly. He said I rolled into him, but I didn't want to argue with him. We exchanged info, but we discussed settling on our own. I was in a recent car accident and didn't want to have to deal with my insurance co again, I'm afraid they would drop me if I had another claim. Anyway, I had zero damage and he is now claiming that his headlight is loose and there was a tear in the bumper, how could he possibility have a tear when I had NO damage at all. I know it's most likely a prior issue he had and is trying to get me to pay for it. He sent me an estimate for 1000K and wants me to pay. I don't even feel that it was my fault, but again afraid to have to deal with my insurance again. I am thinking about just paying to end this and move on. Do you think this is wise? If I pay him and make him sign a release will that be enough to protect me from him in the future? Please respond!! As he wants to meet me tomorrow!! If I do pay, is it best to give a check, or bank check? He claims that he wants his car fixed quickly and the auto place is waiting for payment before ordering the parts. I kind of doubt he even is planning on fixing it and he probably knows the auto body guy. But I just want this to go away and not become a he said she said situation. I'm not sure if the gas station would have it on video. Thanks so much for any assistance.