It sounds like your sport is either basketball or baseball. Purdue, GaTech and UT Austin do not have a men’s volleyball team. And none of the schools you mentioned have varsity level badminton. I assume you understand that non-varsity sports (ie club level) do not have any bearing on college admissions.
If you are being recruited for basketball or baseball, then good for you. The coaches should already be reaching out. For Division 1 programs, the coaches typically start contacting prospective student athletes after July 1 of their senior year.
Your SAT scores are fairly low for the schools mentioned above. But if you get coach support, it should be possible.