Collateral consequences

What are the collateral consequences, if any, of being involuntarily separated by the Air Force on a persons ability to run for, and if elected, be seated in Congress – and add a second involuntary discharge from the Army.

Time reports that:

A week ago in the living room of South Carolina’s Democratic nominee for the U.S. Senate, I asked Alvin Greene if there was anything that had not yet been written about by the press that he wanted to get out. “Bring the Air Force discharge up,” Greene replied. “Y’all go and get that.” . . .

None of this answers the central question of Greene’s military service: Why did two branches of the military feel obliged to discharge him against his will? Greene will not say, though he says he expects the information to come out eventually, and he suggests that he will not be unhappy when it does.