I just recently purchased CuteEditor, and I downloaded and started using it the first time was less than a month ago.
The fileversion I'm using is CuteEditor 6.6 Build 2011-09-12. I upgraded it to the latest one from the link you provided above, and I still get the exact same problem.
Did you try clicking your demo and clicked on the "Set Table" button several times? The first time is always okay, and the problem happens on the 3rd click. The cursor should always be placed after the table, and this should not happen.