FWIW, I used to trade DOGE/BTC on coins-e back in late december/early jan. When the first unannounced fork happened I lost a 110,000 doge deposit I had deposited from my fully updated Doge wallet to coins-e around the same time as the fork. My only recourse was Twitter and forums as coins-e was silent on support for myself and many others. The loss, it seems, was because coins-e had not updated to 1.3 at the time. This is likely what happened here given the most recent problems happened after the last fork most likely coins-e was running 1.4.
I DID get my deposit, finally, after 2.5 or so weeks not even having it show up in the dogechain or on the site anywhere then being moved to a large coins-e storage wallet.
Some things I didn't like, that made me decide to never use coins-e again was the lack of communication or mere acknowledgement of a problem (not to mention they tweeted that the issue was fixed about a week before anyone in my situation got their coins which caused even more worry). It seems that so far, it's a lack of resources or time on the admin's part (@vigsun). I will re-iterate though that myself and my team of friends in the same situation as me that I met through our collective confusion all got our money back after 2-3 weeks. I saw initiation of movement in the central wallet (looked like processing backlog) about 2 days before I got my coins, but that was at a time that coins-e had more volume and more deposits, many of which they lost after this incident.