1 ticket no problem. If they don't hire you for having 1 ticket, chances are you would hate working there. Be honest if asked about it and show you learned from it.
The only states I pulled records from were 5yr records. And they only showed stuff from that state. Now I think airlines pull the national record but I think those show only big things like DUI etc. I can't remember if those are 5 or 10yr records but I know you can get your own copy online. A complete background check on yourself is around a $100. It's nice to check and make sure someone hasn't used your info and been jailed in Alaska or something worse.