You have some real strengths in your profile, and also some challenges.
Strengths are your startup experience and success, and more marginally your interesting extracurriculars. The certificate you are considering would be helpful too, IF related to your goals.
Challenges: Looking at your profile, I see some incoherence in your career, education decisions/actions, and goals. For example: I believe the adcom would question why you started to pursue an academic path in social science after your entrepreneurial experience, and why are you turning back to business now? It seems like a lack of focus. Also, leaving the social science program because you didn’t care for their teaching approach is not a strong reason (or any reason) to turn to business. Being currently unemployed is a potential negative factor (unfair as that may be) – to be competitive at any good program, you must show that you’ve used this time productively and thoughtfully.
Goals also seem vague – work in corporate – which industry/sector, doing what, and WHY? And later, start up what kind of business, and WHY?
For top-10 programs, stats are OK at best.
From the info provided, I do not think you’d be competitive at HBS or Stanford. LBS would be a
fairly high but reasonable reach. You might also look at Judge and Said in UK. In US, programs such as Texas/McCombs, UNC/Kenan-Flagler and USC/Marshall might be good targets.