Student visa - as in F2, student dependent, I presume? However, if you are not in an overstay situation, then you are probably OK on this front.

Things are a lot less clear with a bench warrant. Do they ask about those things when you apply for travel authorization? If they did, and you answered honestly, you might well be OK with the feds as well. Local authorities - less clear, but as long as you stay out of their jurisdiction, what are they going to do?

...however, as someone pointed out above - consult a lawyer. I am not one.