I believe the answer is rather simple if not fully apparent.
You've broken the law often, regularly. You've even been observed, perhaps even "caught," addressed, warned. Do you ever drive over the speed limit? Have you ever drank alcohol or sampled illegal substances? Have you ever observed or participated in tagging, graffitti, or other destruction of property? How about being with someone(s) shoplifting or stealing something, even on a dare? How about clicking into any child pornography? btw, did you ever similarly go against specific "sign" instructions other than the speed limit? You get the point. And it's all illegal, law-breaking activity, regardless of the "level" of the crime. You were no less guilty of those violations simply because you were not caught and convicted.
Yes, USNA needs to know at least 2 things: 1. The general nature of your character; and 2. Your criminal history, if any. I'd say, by the nature and concern of your post that both appear to be in outstanding order. Period. USNA has to draw a line in this exploration and it would seem you've walked right up to it, and thanks to a kind law enforcement officer, and more so a grace-filled, loving Commander in Creation, not crossed that line. And btw, the line is not whether or not you "did it."
Imho, this was just your loving, sovereign Creator lending you some grace and mercy, perhaps a bit more overtly. And the evidence that Creator remains with you? The fact you're asking this question. It illustrates you know right from wrong, in both instances. Good for you, on both points. Remember it and move on. And when opportunity allows, share some grace and mercy with others who don't "deserve" or merit such, and are in need of it. Just like that law enforcement officer and your buddy who took your punishment for you and the others, did. (For some the essence of this story will be so clear.) Your record is now pure and white, it seems.
I understand and applaud '85's sense of righteousness and candor. Conversely that POV extended to its complete, thorough conclusion might not be desirable or necessary on any front.