You are fine to apply this month and submit all your secondaries by August. I suggest these schools:
All 4 SUNYs
Albany
New York Medical College
Vermont
Quinnipiac
Seton Hall
Drexel
Temple
Jefferson
Penn State
George Washington
Virginia Commonwealth
Eastern Virginia
Wake Forest
NOVA MD
Tulane
TCU-UNT
Medical College Wisconsin
Oakland Beaumont
Wayne State
More clinical volunteering and non clinical volunteering hours will help your chances. There is no stigma if you are a reapplicant.