What state did this happen in? In most states, any BAC above 0.01% is considered underage DUI and subjects you to certain penalties as with a DUI. I would highly recommend you retain experienced counsel in DUI. The calibration of the breath test machine may be such that your true BAC was under 0.01%.
Your question needs a little more detail to answer properly. It's not clear from your question whether you were driving or just caught after consuming alcohol. If you were driving, you could be convicted of a misdemeanor level offense and lose your license. If you weren't driving, it would still be a misdemeanor but you wouldn't lose your license. Either way, you should do whatever you can to try to avoid getting a conviction. Hiring private counsel is the best way to set yourself up for that possibility. A private attorney should also be able to handle this mater for you after you move to avoid the need for you to travel back to Minnesota multiple times (or at all).
If you are underage, than regardless of whether or not you were driving, you could be facing a misdemeanor. The penalties could vary, however, depending on if you were driving. It would be in your best interest to retain an attorney. Quite possibly, with an attorney, this could resolved without you having to travel back to Minnesota after you move.
I hope you find this information helpful and I wish you the best of luck.
Mr. Patrin is correct. You should contact an experienced attorney to discuss your case in confidence. More information is needed to fully answer your question (you should be cautious of listing further detail here as it is a public forum), but it sounds like the type of case where an attorney could be able to appear for you so that you potentially don't need to come back to Minnesota.