Well, your numbers aren't keeping you out. And your interview skills aren't keeping you out (hopefully they won't, either).
Applying early is key: a June AMCAS, with all secondaries submitted within 2 weeks of the invite, is early. Applying broadly is key: 25 schools might be a good number. Applying to all of your state's public schools, and any neighboring state public schools that give your state consideration, is key.
Knowing whether you have good LORs or not is key. Getting mature professionals (not your buddies), who you can trust to be impolite to you, to review your essay is key...getting at least one of them to read your edits and say "yeah, that's pretty good now" is key. Writing compelling descriptions of your ECs is key. Having a clear and substantiated reason to pursue medicine is key.
Unfortunately, when you reapply to a school, you need to completely rewrite your application, if you want to be taken seriously. You should have at least one substantial new asset in a reapp, and at least one new letter. If you apply again with the same app, expect the med school admissions folks to say "this student didn't change anything - why should we change our decision?"
With good numbers and poor results, you might benefit from hiring a consultant, like MedEdits or Judy Colwell. Do some serious soul-searching as well: life events like med school rejections can be the source of an inspiration that leads you to a career in which you'd be happier. Walking away could be the smartest thing you ever do. Also: not walking away could be the smartest thing you ever do.
See the reapplicant forum for more insights. There's a fairly good "red flag analysis" theme, if you read through existing posts.
Best of luck to you.