lets see:

• 3 traffic tickets, two in the past 12 months prior to interviews--
  1) Ran red light 2) Disobeying traffic control device (speed limit sign) and 3) outright speeding
• 4 accidents (only first one was my fault, that was 6+ years ago), but various minor ones throughout, including someone rear ending me and somone coming into my lane and T-boning me
• suspended license (about 5 years prior) due to getting a traffic infraction under 18 (state law)

On the applications that asked about my driving record, I still recieved calls for interviews.

On the interviews where they asked about my driving record, we just joked about it. Almost everyone speeds at one point in their life, just try not to let it happen again .

I wouldn't sweat it AT ALL. You'll be fine as long as you interview well.