DAT before or after June 1?

I think the schools just keep your scores with them until they receive the rest of the application. The schools immediately start a file with your name after they receive the first piece of application information.

 

Take the DAT when you feel you are ready.

The better you do the better schools you have a chance of getting into.

So if you wait to take the DAT until even August it's not a problem, since it takes about 6-8 weeks for the AADSAS to verify your GPA and then send out your application. So even if you submit it right away the schools will not begin to review it until two months later.