Would I be able to take the September and October ACT for my UF and FSU application?
ACT/SAT scores should be to UF by 12/15. You shouldn’t have any issues with taking it in September or October.
FSU has two admissions dates, an early one due Nov 1’s and a later one in early February.
https://admissions.fsu.edu/freshman/WWLF/
October testing dates are likely too late for the Nov 1’st admissions date, but are fine if you apply in February.