Brundlefly, thank you. You partially solved this issue. Enable MIDI Out was checked. It has never been checked before. Possibly, this happened with the 2016.10 update.
Still, the whole issue is not resolved. Virtual Controller, which is at the bottom of the MIDI in list, is always checked. This also causes these 32nd notes to appear. I have to select NONE and then select the Edirol FA-101 as the only MIDI in. This is a waste of time. I have been using Cakewalk since it came on floppies. Never had this problem before.
BTW, I am using multiple occurrences of Dim Pro as I am testing this. I have also tested it on SI Bass Guitar, Strum Session 2.1, BFD2, and Z3TA+ 2.
It gets more confusing, which usually means there is a simple answer out there. If I record a Dim Pro track without Enable MIDI checked and without the Virtual Controller checked nothing is recorded. Good. But, I like to view the staff, and now even though nothing is actually being recorded the 32nd notes are appearing in staff view. They disappear after I stop the recording. Any thoughts on that?