Would Nina Perlove be an example of a fine flute teacher? And could I get into Juilliard?

Well i might start by suggesting that you learn to drive. I know someone who drives about 4 hours down to Boston every other week for his violin lesson (he's REALLY good). Juilliard would probably like to see the commitment you put into getting lessons and improving your playing. Since you already seem to be a great player (congrats on all of your accomplishments, btw), your playing would still greatly improve if you took private lessons (this is true for about 99.9% of all musicians). If your playing were to improve even more, you might have a better chance at Juilliard! Sorry I can't be more helpful when it comes to the more flute-specific aspects of your question, but I don't play, so I'll leave that to people who know what they're talking about:)