Depending on the value of the damage you may need to file a report with the department of motor vehicles. Since you admitted it was your fault and are cooperating with the other party I can't see any criminal liability.
I wish you the best of luck.
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Legal Disclaimer: Mr. Pascale is licensed to practice law in the State of New York. The response herein is not legal advice and does not create an attorney/client relationship. The response is in the form of legal education and is intended to provide general information about the matter within the question. Oftentimes the question does not include significant and important facts and time-lines that, if known, could significantly change the reply and make it unsuitable. Mr. Pascale strongly advises the questioner to confer with an attorney in their state in order to insure proper advice is received.
You got lucky this time, but never, and I mean never, either leave the scene of an accident or not file a police report, as it usually comes back to bite ya.
You did the right thing. Report it to your insurance carrier & make sure to file an SR-1 (see below link). Take care & be safe!
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You returned to the scene of the accident and provided the legally required information, I would not concern yourself with a misdemeanor worry.
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