Satpal,
First of all, Do you have traffic citations, accidents...?.
for traffic citations(speeding tickets, red light...) need the disposition of the court with certified payment.
The accident depends of severity. If anybody involves I mean no police, no ticket, no crime and it does not appear that you were detained by the police as a suspect in a crime, only you and the other car and reported to your insurance, it is not necessary to report it in your N400.
The DMV record is fine to take with you, but more importat is certified payments and dispositions of the court.
Hope this helps,
Good luck