there are still some non top tier schools with regular round's deadline of Feb1st or even later. Chances for scholarship still exist because some successful applicant may turn down the offers.
but be sure to select the school now because it takes time for ets to send the scores. you may try to use phone method for toefl and fedexpress for your supplementary documents.
I think it is a bit of a hurry. From personal experience, essay is the most important part of an application since interview is rewarded based on your essays, test cores, and resume.
But round 3 is in March so you should definitely give it a try. I would suggest not to apply to your dream school this year as it would be hard to reapply again.