I would be very leery about taking anyone's advice from this board -- all strangers to you -- on this topic. We all know what the right thing to do is and how we would all advise someone prior to their telling that lie But setting the record straight once it's been told is an entirely different matter because it comes with not only the possibility and full range of adverse administrative consequence, but -- however unlikely or remote. (and it is both unlikely and remote)-- very real exposure to financial and criminal liability.
If your lie made the difference in scholly award vs being passed over, then you stole, via fraud, the value of what you've already received and, were I deciding and that fact plainly evident, would say you should lose the remainder of that scholly and repay your plunder. But it's impossible to ever know if that single factor "made the difference."
Make a legal assistance visit and talk with a JAG -- or better yet, defense counsel -- either counsel being obligated by their license to protect your disclosure in requesting guidance as both privileged against further disclosure and confidential. Or the Chaplain, but he/she is not likely to have a JAG's clearance suspension and revocation experience, which remains in jeopardy even should your command forgive and waive their own action in light of your newly-formed clarity regarding Integrity.
No one else, except your mental health provider, if you have one, will guarantee that confidentiality as you weigh your conscience and penitent heart against your future and uncertain consequence.
There's no formula to what would happen and so much -- everything -- depends on you and other human (and, therefore, unpredictable) factors.
iMO, the most important question here is, "Can you commit...and should you be trusted...not to lie or smoke dope in the future?"
If you're still that scared kid who would lie about the little things, which probably didn't matter to your scholly award, then you'll lie about the big things that do matter, such as National Security secrets and service member lives, which can be (and are frequently) lost by "little lies" as seemingly inconsequential as fudging maintenance records.
