The stipend/scholarship can be a nice chunk of change, but they really won't allow you to live any differently while in med school. I know that when I looked into the Air Force, the monthly allowances added up to about $22000, if I recall. I got about $18000 in cost of living loans, and I certainly wouldn't refer to that $4000 difference as "significantly more." It won't really allow for any lifestyle changes at all. Buying a car or house would still be virtually impossible. During residency, you're making $65000 or thereabout, right? That's about $15-25k more than civilians earn, which is definitely quite an increase. During your service obligation, you make around $120k at the absolute most. If you're planning on doing primary care and go to an exceptionally expensive med school, that's a pretty good deal. If not, you're going to be losing hundreds of thousands of dollars overall. Consequently, it's almost universally agreed that going the military route is only something you should do if you're interested in being in the military. It's not a financial decision.
They probably won't tell you specifically who torpedoed you, but you might at least get some useful information about the overall quality of your recs. If it's anything less than good, get all new ones.