The og:url tag definitely seems incorrect. It's showing as:
<meta property="og:url" content="http://www.tangodo.cz"/>
That means that Facebook and other networks will only use the data from your home page to represent the page you linked to. If you set that tag in the JFBConnect -> Open Graph -> Settings -> Default area, you should remove that setting. Then, re-run your page through the Social Debug tool to ensure it's correct. That should get you going, but if not, just let me know.
Thanks,
Alex