Would June 23rd or June 25th be a good date to include my application for the first cycle?
It seriously doesn't matter if you are in the very first batch.
Submit your application sometime in June so that your GPA will be verified. Then, take your DAT on one of the dates listed above. At the very worst, you'll be in the 3rd batch. You'll encounter no issues whatsoever.
Third batch is still "early"Will this still make me an early applicant though even if i'm in the third batch?
I'm re-applying... Can I submit my app as is then submit my retakes?