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I agree that raising your SAT I score would increase your chances, but as you said you might not be able to retake it, try to do well on the SAT II's. Your average percentage could also use a little raising.
Some volunteer work would be nice, but I think that focusing on a few extracurricular activities and excelling in them would be more significant than volunteering for a short while, especially when your heart is probably not going to be in it. Also, leadership positions in your extracurricular activities aren't necessary, but would make a comparable difference.
Most colleges will specify how many letters of recommendation are required in their application. Stanford requires two letters of recommendation from teachers you've had in the 10th or 11th grades. You can also submit an optional third letter from a music teacher, coach, etc. if you desire.
Cornell may be a closer reach than Stanford or Princeton, yes, but they're all woth a shot, especially if you do well on your SAT II's.
Remember that statistics are important, but essays count for a lot, as well. Applying to the schools you named will require some insightful, creative essays.
Good luck with everything!
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