Computer Science(BS) If I'm an ASU undergrad(Not Barrett) what are my chances @ Harvard grad school?

@happymomof1 - I’ve been accepted to ASU for Jan next year. I need to choose between: attending ASU from Jan and then try transferring to Barrett, attending U of IA as its ranked higher than ASU, and if by luck I get accepted to U of MN. If U of IA and MN don’t accept me, I need to prepare for my SATs coming up this October and try applying to Barrett for next fall as a first time freshmen. However, that seems a little impossible too, 'cos the application begins on September 9th, while the next available SAT is on October 3rd (ACTs even later than that); as far as other reviews and stats go, Barrett applications and seats fill up pretty quick!