Thanks for your message. You have a very strong candidacy.
For the exam, you do not necessarily need to take the GMAT, but it is important to remember that your exam score is only valid for a certain number of years (for the GMAT it is 5 years).
For your work experience, admissions teams are looking for a diverse pool of candidates, so you do not need to have had business experience. However, it is important that in your application you address why business school is the right decision for you at this time. Admissions teams like to see candidates with at least 2 years of work experience, which you have.
If you'd like, we provide free 30 minute phone consultations here: http://www.stacyblackman.com/contact/
We also have free school-specific advice here:
Harvard: http://www.stacyblackman.com/business-s ... ss-school/
Stanford: http://www.stacyblackman.com/business-s ... -business/
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Stacy Blackman | Stacy Blackman Consulting Inc | http://www.StacyBlackman.com | +1 323.934.3936
MBA blogger, US News and Author, The MBA Application Roadmap