Correct completions for that blank would be "may not" (the abbreviation "mayn't" is very unusual) and "shouldn't". Quick illustration:
May I use my mobile phone while driving?
No, you may not. or "No, you must never use your mobile phone while driving."
Should I use my mobile phone while driving?
No, you shouldn't.
None of the options suggested form any relation to the obvious sense of the sentence in relation to being against the law. "Mustn't" comes closest.
Another good alternative is You must disuse your mobile phone while driving. (Not only may you not stopstart using it while driving, you must stop if you were already using it.)