Yes, you can still get married, but if he is deported for being an illegal immigrant he cannot reenter the US for a minimum of 10 years. Also, the charges he is facing are serious. The endangering charge is a felony punishable by up to 10 years in prison and the assault charges are misdemeanors punishable by up to 1 year in jail each. These charges are also moral turpitude offenses which would be sufficient to deny admission back into the country even if he was not an illegal entrant and barred from readmission based on those grounds alone.
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