This is the way I see it:
The acceptances that are going out right now (for the majority of schools) seem to be "auto-admits." Their numbers are vastly over the medians (and they probably didn't say anything too stupid in their essays). If your numbers are similar to the ones that are receiving acceptances, I don't think having to wait a few weeks will hurt you. You will still be an "auto-admit" and you will be accepted (albeit a little bit later).
Out of curiosity, are you Indian? What are you doing in Southern India?
Anyway, I wouldn't worry too much, you'll have a great cycle nonetheless, good luck.