In the words of the immortal Cliffy Claven, "Here's a little known fact..."

Some companies use the FBI for all or part of the background check. If they do that, every aspect of your driving record will surface. Trans States Holdings does this, and they informed my thusly before I submitted my application.

Their suggestion was to put down as much as you can remember. Specific dates can be fuzzy (I had 2 tickets 20 years prior in college, but the dates and details had long slipped my mind), and that's fine. Just be as honest as you can be.

I did the same with UA, and got hired.

The common thread here is that the NDR might just barely scratch the surface.