I think I just responded to this post in a different thread, but as I said before you need an LSAT score. Being in model UN and having a research proposal etc is great, but most law school applicants have similar experiences. The soft factors are of minimal help in law school admissions from what I saw when I attended law school although I have never worked in a law school admissions office. However, you can imagine when 5,000 or so applications come in a guy who worked in college, participated in model U.N., and did a research project is not going to jump off the page at anyone. It is all good stuff, but if you have a 140 LSAT your not getting in anywhere.
It sounds like your doing well academically and involved which is all you can do at this point. Next step is the LSAT and practice is not the real thing until you have an official LSAT score you cannot know what your options are. Back in my OL days my practice tests ranged from 154-163 and I noticed one of the four books I was using I always got a higher score, but when real test day came I got a 157. With my 3.3 & 157 I got into numerous schools, but not Harvard-Yale-Stanford surprisingly : ).
Anyways take the LSAT and keep doing what your doing.