The Autotune Error Check message is because you are using multi-lingual on your site and there is a redirection performed when our tool tries to fetch your home page. Currently, our tool won't follow redirections. I just checked your page manually and there are is an issue I can see:
* The Facebook Javascript library is being included multiple times, and loading in a way that isn't compatible with authentication. You'd want to remove the 2 instances of:
<script src="//connect.facebook.net/en_US/all.js#xfbml=1" type="text/javascript"></script>
and
<script>(function(d, s, id) {
var js, fjs = d.getElementsByTagName(s)[0];
if (d.getElementById(id)) return;
js = d.createElement(s); js.id = id;
js.src = "//connect.facebook.net/en_GB/all.js#xfbml=1";
fjs.parentNode.insertBefore(js, fjs);
}(document, 'script', 'facebook-jssdk'));</script>At lease one of those looks to be added from the Like/Send buttons on each article (which JFBConnect can add back in as well). I'm not sure where the other inclusion would be coming from.
Once you clear up the extra inclusions, the Facebook authentication should work. I couldn't find the Facebook login button, so I couldn't test, but with the issues above, I wouldn't expect it to work.
I hope that helps,
Alex
error 303
please take a look ty