If this happened, as you have explained it, I really don't see much of a problem. You made a mistake and you tried to make it right. You knew you were doing wrong but have learned your lesson. Police departments know they aren't going to get angles who have never made a mistake in life, the question is can they trust you now. If if comes up and you tell the story you should be alright. Not telling the story and having to explan later, after you have been hired or later in the process, will make them feel you are trying to hide other things from them. Being upfront will show maturity and taking responsibility for your actions. Departments want officers with integrity. Lack of integrity can destroy, not only an officer, but an entire department and integrity is key.
Alot can be forgiven when your upfront with things, not so much if its found out later.
MPD165