And the confusion increases...
I tried deleting all plug-ins in the project, and I tried deleting each of the tracks one at a time. Neither helped. (No, I didn't hit save at that point.
Next I re-opened the project, the pause issue was still there, but I went ahead and recorded additional track with multiple takes on each.
Then when I hit "pause" the problem was gone.
Yes, it did sound like a tiny loop, and its tone would change with the position on tracks as if it was picking up whatever instrument was on the track.
Well, I need to go bang my head against the wall some more. Yikes!
:-Don