Transfer Student, realistically, what are my chances

I’m currently a sophomore at UCONN applying to five schools. Boston U, Boston College, UPENN, Columbia and NYU.
I’m applying to the undergraduate business programs for all except Columbia (due to the fact that they don’t have one) and I was wondering what my chances of getting accepted are. My GPA is currently a 3.595 and it should go up to a 3.6 after this semester. I’ve taken all challenging courses. I’m getting good recommendations from two of my professors who really liked me and I excelled in their class. I’ll have good essays written on the common app for these schools. My only worry is that throughout high school, I was average and my SAT’s are also average. What are realistically, my chances of getting admitted?

If you’re a transfer student SAT’s and high school are like talking about elementary school…