Sure looks like either a penalty or a massive discounting of links to me. You're not banned, but you're way back in the results given your link profile. I took a quick look at your robots.txt and it looks fine.
If Google is still seeing 13,000 pages as duplicate content, this could be the issue as well, as Google's internal "quality score" on your site is not going to be pretty. But giving the number of inbound links you have, I'm much more inclined to think that Google has identified your link exchange script and discounted all links related to that.
There's some discussion out there also on whether you can get dinged for over-optimizing your anchor text. See this article. While that case study is a pretty small number of sites, if Tim's findings are accurate, you're definitely at risk. Both your internal and external links to your home page are virtually 99% "watch movies online" and "watch free movies online".
So here's what I would do:
#1 solve the duplicate content issue
#2 see what you can do to change the link exchange process to make it less recognizable to Google
#3 go vary your anchor text, adding new links and changing a few old ones like this profile link to use www.freemoviedb.com as the anchor text.