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It looks like the site has been penalized pretty heavily. I wouldn't want to be there if I were you. Pop it into http://www.semrush.com/ and witness the horror.

As Greg said, as long as they are Noindexing the page or robots.txt 'ing it out of the crawl index, you should be just fine. It's still more than a bit lame that they might be able to take credit for content and layout that you did, though.

I have not used them, but a quick glance makes it seem like they're suggesting content from news feeds related to your subject. I imagine something you yourself could set up as well for free and a little copy/paste effort. Also, just because something showed up in Google News or on a news feed for Fox News doesn't mean it is viral content.

You should also set up Google Webmaster Tools for your old and new domains and then tell Google about your change of address. Log-in then go to Configuration>Change of Address And here is some other information from Google that is useful to follow https://support.google.com/webmasters/bin/answer.py?hl=en&answer=83105