I just Beat The GMAT!

I got beat by the GMAT! I would still like to know if anyone could tell me my chance at a top-tier to second-tier school.

Here is my resume:

580 GMAT
3.7 GPA Undergrad
3.8 GPA Masters in Secondary Education
Teach for America for two years (received my masters during those two years)
Fulbright Fellow for 1 year
3 combined years of experience.
Speak German and Mandarin at a low proficiency level

Some of the people that I have talked to recently have put more of an emphasis on the narrative of the applicant more than the applicant's score on the GMAT. What do readers think about this based on their experiences? Any insight would be much appreciated.

Thanks!