Is it likely that I will get into Barnard?

I go to one of the top five boarding schools in New England. I have mediocre grades, good SATs, and amazing extra-curricular activities. My gpa isn't the best because I transferred to my school from an easy public high school in tenth grade. I had a horrible time my first year and a half, so for tenth grade I had a C+ average, and then for the first semester of 11th grade too. But then I got my act together, and got a B/B+-average for the second semester, so my overall year grade became a B-. Now my gpa, from that school is a C+, but when combined with my grades from my previous school(because I had straight As) becomes a B, but I'm not sure if the official transcript will combine the public school's with my current private schools. I was going through a very difficult transition period, and the teaching styles of my teachers were completely different than what I was used to. I also had depression from homesickness, and had major anxiety problems No women from my school have ever gone to Barnard, because they usually opt for Columbia or other Ivies instead. If I apply ed, write a letter explaining my grades, have unique essays, great teacher's recommendations, improve my SAT scores, am the leader of three clubs, and do community service, will I get in? Also, I am African American(first generation born in America, and speak two African languages, I also lived in Ghana(where my family and I are from) for six years. I will not deny it, and I say it shamelessly and proudly, I hope that affirmative action will help me, because the end justifies the means, and I know that once I get there, I will work my butt off to prove that I deserve to be there, and that I didn't just get there because of my race/ethnicity.