As noted above, it is not only easier, but close to essential that you track down attested / certified copies of the court docket / judgments for each of these. The biggest hang up to older cases which are not particularly significant is that TSA can''t "see" a final disposition in various databases.

That leads to the risk that there is a warrant, an unpaid fine or whatever.

I would collect everything and then apply. If you are asked about the past at your interview (presuming conditional approval) you can offer the paperwork. If is not an issue, you don't need to offer the paperwork.