I was in a accident where I was backing out of a parking spot. When I shifted to first my vehicle was jarred forward. I looked in my rearview mirror and the reverse lights were on on the other vehivle. I got out and assesed the damage none to my car and a slight dent in the other. I asked if they wanted to make a report and they said no. I gave them my info and went on my way. They are now saying that it is my fault and that I own 1600 for the damage. I am still unclear as to who was at fault that is why we decided not to make a report. If there was no report, no witnesses and no proof of who was at fault who would be liable? Please advise thanks