Maybe the lesson here is don't fly for the ME3? Only getting one side of the story here but I get how these two instances might be something you wouldn't think to include in an application, depending of course on the wording of the questions and the specific details of how these instances were handled, which we don't have. I'm all about being brutally honest on your application, but the onus is also on FedEx to ask the right questions.
Edit after seeing Hacker's post - if that's the question he saw, and he got some notice that formal discipline was taken (which seems to be the case) then yeah, bad on him.