I think a morals waiver is likely. However, the military is more competitive than ever and waivers are discretionary.
I feel confident that if your lawyer filed a motion before the court with a letter from the recrutier stating that you are eleigible and ready to enlist you that the court would terminate your probation early especially since you would be directly entering the military.
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If you were charged with a felony at any point (it seems like a lot of stuff for a petit larceny case), there is a good chance that you will not be eligible without some very specific steps being taken.