If you wanna look at my post it goes in depth about my timeline and experiences/stats as that might also be helpful for you to compare.
I submitted Primary Application 7/13/20, also before I received my MCAT score.
Processed 8/25/20
I submitted 6 schools on 8/30, and returned 9 secondary's by 9/14. I got my first and only II in October (WL). You would be earlier than I was, however, if you take into account the general consensus of the importance of applying early you would be considerately late as I was. Keep in mind that with rolling admissions that there are thousands of applicants that have near identical stats and its essentially first come first serve for interview and acceptances. With interview invites coming in as early as late July, schools are already piling up applications to review and fill interview slots by the time yours gets in the door.
There are certainly people that do get accepted applying later than ideal but the odds aren't in your favor.