I strongly recommend that in case of an accident:
1) Get witnesses’ names.
2) Take pictures of the damage, the cars’ positions, and any other pertinent info.
3) File a police report.
There was a fellow in yeshiva whose parked car was hit by a truck. The truck driver was very apologetic, gave his info, and promised to pay for the damage. He then got two friends to lie and claim that they were witnesses, filed a false police report that the yeshiva guy had been pulling out of the spot when he was hit, and caused him major headaches.
Another frum person who had an already damaged car was in a minor accident with a relative. The chrome trim on the already damaged car was held in place with tape. He proceeded to remove the tape, let the trim fall to the street, and when the police came he claimed that it had been torn off in the accident.