Which makes it even more surprising. It asked me to check into a flight to MCO. I did not fly into MCO for few years.

The only solution I was able to find around it (after logging in, out and refresh, and again) was to do 'hard reset' on the blackberry. I went back to the desktop and did reinstallation of all. This time, it seems that I see only flights I have purchased, and no requests to check in for flights I don't have.
On the other hand, it does show a flight I refunded (and does not show on delta.com). So, I guess it asks me to consider changing my mind.