Would applying early help?

Hi everyone! I am applying early to the VMCAS by the end of June to these schools bellow. Will applying in June give me an advantage or would I have to wait? I know the Caribbean schools are rolling admission. I am planning to apply early because I want to use the fee waiver and also my summer classes end on June.

Schools applying to:
Arizona state
Texas Tech
Washington
Utah state
Ross
SGU