I once ran a Subeta Answers cheating site, this of course made a giant unintentional stink on Subeta with the admins and since they couldn't really tell the different between members answering the trivia legitimately or due to my wordpress, they scanned people's cookies/history in order to check if my wordpress (and other sites) were present.
The people who had visited my site, got a verbal warning, and I myself, for possessing an admin wordpress cookie to the site got perma-banned.
Now, I need to inform you that it is possible, though Subeta was pretty lax in their technique, Neopets may be using this technique to freeze people. But of course this is only my hypothesis on why people who have been using their accounts legitamately while viewing cheating sites may be getting banned. It is possible Neopets has adopted the idea on their own, but my knowledge of this is limited.
So, when this happened on my old blog, I advised all people to only view my blog on firefox "Private Browsing Tool" by using Ctrl+Shift+P, and once they're finished, go to Subeta after that.
So for those who are having trouble, perhaps you can try that out and see what happens, anyone who tries this can report back.
By the way, nice to see you guys again. Nice to know you're still up unlike the other site. xD