Your a bit young for carpal, etc..
Take it from me, you can get tendon disorders at any age, no matter how young you are. I know from experience.
I can't take a break!! I have TESTS EVERY SINGLE WEEK THAT INVOLVE FINGERPICKING!!
Well then, you'll have to make a decision for yourself. Do you want to take a short break, practice less, miss a few tests and come back to playing in a month or so, or do you want to develop potentially incurable tendonitis in your hand?
I've got tendonitis/tenosenovitis in both hands. I've been playing guitar for less than two years, and I've had tendonitis for one year. I may never be able to play again. Seriously Katrina, go see a doctor if the pain is still there in about a week or so, sooner if it feels serious. I'd also recommend hunting down a copy of Rock Discipline (Petrucci's DVD), or specifically just the exercises he lists at the start (the vid is on YouTube somewhere - the one that JJEMMER777 is one from that, if I'm not mistaken).
I may seem harsh and a little paranoid/over the top in my advice, but if I could turn back the clock, I'd do anything to avoid getting tendonitis...if you're showing the first signs of it, then don't let other commitments get in the way of common sense. Stop, and let it heal. If you're lucky, you'll only be out of it for a few days. Your school won't punish you for being injured.