police record
I have not dealt specifically with service academy background checks, but have extensive experience with federal employee checks....so I assume there are similarities.
The key words are SUITABILITY and CREDIBILITY. You cannot lie about your background. If you are caught lying, (credibility) you will have a difficult time passing the check. On the other hand, only report on your form what is true. What I mean by that is that you need to find out exactly what, if anything, is on your record, and report it as accurately as possible. But don't leave out something that they will find later...it looks like you are trying to hide something (credibility). If you feel that an explanation is in order, you might be able to append one to your application.
If you perceive you might have any potential problems, I suggest that you contact a lawyer and find out exactly what you are dealing with, and how best to truthfully and honestly disclose it. Do this BEFORE you apply so that you can plan accordingly. It is far better to be proactive than reactive.
Mike