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Have you claimed your site in Webmasters Tools? If so, do you have a manual penalty? You also have a LOT of duplicate content issues. Google could be choosing not to index your site because (not much) nothing is original.  I pulled 10-15 sentences individually off your site and found so much duplication. I would suggest re-doing your whole homepage content while you sort out the link issues.  Also, many inner pages need some re-work on content as well. I agree though, it looks like a link issue. 170+ referring domains with 1700 links in Ahrefs is usually a dead giveaway of 2007-2011 link building. Disavow, reconsideration request & you should be back in the index.  Your site needs a LOT more proper SEO work to rank well but that's a start to get you back in the index.