You really should speak with an attorney experienced with traffic matters.
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You should consult with a traffic attorney. Your immigration situation complicates matters and you don't want anything to change your status. Don't say anything to the State before speaking to an attorney. It's unlikely you will go to jail. Good luck.
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What you should do is not rely upon the government to provide an attorney for you, and hire one yourself to deal with this first degree misdemeanor.
R. Jason de Groot, Esq., 386-337-8239