I have filled out quite a few applications, and went on many interviews. I have never seen any ask if you were arrested. Anyone can get arrested. Anyone can get tried. But ONLY if you are convicted, can that, and should that be a problem. In this country EVERYONE is Innocent until proven guilty (accept O.J.). And because of that, unless you are convicted, nothing should be held against you. Only at United when I interviewed did I get asked about speeding tickets, which I could mark down none in the past 5 years. I guess they didn't have anything negative on me so they asked if I had ever had any speeding tickets in the past. They just wanted to see if I would make excuses. I told them I had, and it was my fault. But speaking of United, I think they may ask on their web page application if there is anything pending. So if so, and United is what you are after, get it cleared up. After that I wouldn't sweat it.
You should ask your lawyer to sue the casino and the rent a cop for false arrest and unlawful detention. It may be next to imposable, but try to get the casino tapes of the "argument" to show the rent a cop was overzealous with his "power", and misjudged the situation.
Hope this helps.