Probably. Non-Hispanics do not take the Prueba de Aptitud Académica.
Kind of a weird mix of schools indeed. Are you attending a private high school?
If you change your mind and open to Engineering, have a look at this thread: College Board National Recognition Program (includes former National Hispanic Recognition Program) Class of 2022 - Specialty College Admissions Topics / Hispanic Students - College Confidential Forums
Note that the 720 in English at the SAT might hurt you at some of the top schools. Make sure you add safeties to your list.
You might also want to investigate the benefits of Honors College at large public schools.