You have a fantastic candidacy. You will need to spend time on your essays and personal recommendations to make your application stand out from the competitive applicant pool, but from what you have written, there is nothing that would disqualify your candidacy.
With regards to your GMAT score, I would not recommend you take the test again. Your score is more than above the schools' averages.
Hope this was of help.
Conrad and the Stacy Blackman
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