Bad GPA, but showing substansial increases; Chance at a school like BU

Hello everyone! So here’s a little background; I have always done extremely well in school. In Junior high I was identified as a Gifted and Talent student in both the English and Math department. I always had exceptional grades throughout Jr. High, but when I was a freshman things went awry. I became extremely sick with mono, causing me to miss nearly a month and school and not recover well. My father walked out of my life, and I no longer cared about school and could not adjust to things.My grades were terrible, my first semester GPA was an 84, and at the end of my freshman year my GPA was only a 87.75 . My sophomore year I worked very hard to bring my GPA up to a 91.5667. 1st semester all of my grades were above a 93 except one 90, and second semster all of my grades were above a 93. Now at the end of the first semester of my Junior year I have an exact 93.000 GPA. I did not take any honors or AP classes my sophomore year due to extremely low grades in the past. But this year I am taking multiple honors and AP classes. My grades last semester were decent ( 99 in AP Language, 100 in A.S.L 3, 100 in Creative Writing, 100 in Honor Choir, 100 in Civics, 95 in Chemistry, and an 88 in Honors Pre-Calculus) I scored a 187 on the PSAT which means a projected 1,870 on the SAT. What are my chances at getting into schools such as Boston University, New York University, or any other schools you may suggest. I am looking into majoring in either communications or journalism.