Dear Ryan, I think there are following mistakes in your essay. sure Kevin or one of the forum moderator will give you great help and ideas!
and the importance of it
Its importance
one of the nation's key universities and one of seven key universities in national defense since 1960s,
I think it's better to use another word instead of Key such as recognized. national is not better than nation? or you can write:
one of the recognized national universities among top seven universities...
I had led a digital circuit design team, which improved my
I had also worked as part of an analog circuit research team, which needed
your kindly reply
It would be a great honor for me if given an opportunity to pursue further studies at your highly esteemed university.
It is a great honor for me to have this opportunity to pursue further studies at your ...