Seema,
Don't worry. It doesn't matter if you send it in early as long as it isn't really early like four months. June is probably so hectic for them already since they are getting ready for the new year. I think they will just put your stuff aside until your application comes in. Relax.
The advise I gave to Juan was coming from my several phone calls to AADSAS. They told me that it takes about 14 business days for your application file to be processed and about a week to get your app delievered to the schools. So the average 4-6 weeks. Don't fret, they also have InfoSource this year and that may help you know faster if they misplaced anything.
DesiDentist