What are my odds?

<p>Hey everyone. I'm new here, but I figured this place would be the best place to answer my questions! </p>

<p>I am currently a ME student @ GT.</p>

<p>GPA: 3.87 (3.84 if you subtract non-major-related classes)
GRE Verbal: 620 (a bit disappointed with this)
GRE Quant: 800</p>

<p>Some research experience (did research for credit sophomore year, but didn't continue. Also, did some research this summer).</p>

<p>I've already been accepted into the MS program at GT, but I'm looking to expand my horizons. What would you guys say are my chances of getting into a different top tier ME school (MIT, Standford, Berkeley, U Mich, Illinois)?</p>

<p>Also, I've noticed that all these school require 3 LOR's--2 from an academic source (which I presume are professors). Is there any advantage to having all 3 LOR's come from professors? (I currently plan on asking the Ph.D student I am currently working for. His recommendation will be better than a 3rdprofessor's, but he will obviously not be as well-known)</p>