Addresses: Can you narrow it down to the month? That would suffice. Part of the background check is based on counties where you previously lived - they get this information from several sources, one being your address list.
Driving record: What you're asking is a moral question - only you can answer whether or not you should disclose it if there is no paper trail. If this was your only speeding ticket, there really shouldn't be any problem.
Employment: Like Rick said, list the main corporate name and address. You can put in the description section that you worked in various locations.
Violation: I agree with what has been said here, with one exception. Do NOT, under any circumstances, bring up that the company "set you up" or talk ill of them in ANY fashion. This will be heard as an excuse for your behavior. Simply explain the facts of what happened and let the interviewers come to their own conclusions. Believe me, they will side with you IF you let them.