This is an interesting case... Typically, juvenile records are not accessible - at least not in their entirety.

Without knowing the facts of what you are talking about it is difficult, at best, to give valid opinion. It just simply depends on what the convictions were. And, what does your record look like now? That includes speeding tickets. Do you have a blatant disregard for the law? (That is a question they will ask themselves.)

In most cases, juvenile stunts don't have long-term effects, as long as there isn’t any trend. Meaning, keep your nose clean! Like pilotpip said, the best you can do is be honest about it.