As for what those restrictions may be, they can vary depending on the person, but we know that The Situation had to get special permission to leave the state in Season 1 of Jersey Shore Family Vacation.
He may need to obtain permission again, and if that’s struck down, he’s stuck in Jersey.
Mike “The Situation” Sorrentino isn’t entirely a free man after his prison sentence is up and will go through a period of probation which will come with some restrictions.