Thanks for the report and the pics, zeroendless!
One comment about the convergence issue: there is indeed some misconvergence. I'm afraid that's just part of the problem, as it appears to exist some purple fringing from the lens and the blue channel looks a bit dispersed, as well (that of course, if we rule-out the possibility that your camera's lens may have contributed to the problem).
I did a little trick to check it out: I split your image to RGB channels, fixed the convergence and joined the channels back on. Here's how your AE2000 would look, if it didn't have any misconvergence.
Don't worry though -your AE2000 is (almost) fine! You don’t want to see how my Epson TW1000 looks like…
If you look close enough, you can see some thin white areas near the borders of green and blue channels. They represent the amount of misconvergence they have, compared to the red channel. By the way, is this a pattern from the PJ's menu?