When push on "like" buttom - it fails

Elo,
I think both issues are related, but I can't be sure until we fix the main problem. There's another extension on your site that's including the Facebook Javascript library and initializing it in a way that's conflicting with JFBConnect. It's also including the English version of the API, whereas JFBConnect is properly including the Danish version... which would explain the language issues too.

It looks to be from K2 itself, but I can't be sure. Can you try disabling the Facebook Like button in K2 and see if that fixes your issue? If not, you can find the problem by opening the HTML of any page with the problem and searching for "all.js" (The Facebook Javascript library file). It should be in there only once. The first is from JFBConnect, the 2nd is the 'bad' one that needs to be removed.

Hope that helps!
Alex

Elo,
In K2, when you edit a category, on the right there are multiple panels for settings. In the "Item View Options" panel, there's a setting for "Facebook button". Disable that, and it should fix your problem. You'll need to do this on all categories and need to clear your cache, if enabled, for the change to take effect.

Hope that helps, but if you still run into issues, just let us know!
Alex

Elo,
Not really sure why that would be happening. If you just added Like buttons to your site, it could simply be Facebook 'holding' your Like's while it scans the content of your site. Mainly, it does this to make sure that your site is primarily spam, porn, or other 'bad' content they don't want their Like button on.

The only other thing I notice is that the Open Graph description tag isn't set. This should be pulled from your article automatically, or use the K2 meta description. For some reason, it's simply coming up blank on your site. Can you try adding a meta description to K2, or adding the following tag to one of your articles:
{JFBCGraph description=Description of this article}
That description is what Facebook uses in the post to the user's wall, so it's highly recommended to set something there. You can also set the image for the wall post with:
{JFBCGraph image=http://www.site.com/link-to-image.jpg}

Once set, it can take Facebook up to 24 hours to detect the new tags, so it won't work immediately. You'll have to test later.

Hope that helps,
Alex