The like button doesn't show up in some content

Kiril,
Good news. I think you're all fixed up now. I did the following changes in the admin area, and things are working as expected now:
1) In Site->Global Configuration, I set "Use Apache mod_rewrite" to No. This makes your SEF URLs start with index.php, but the rest of the URL is 'pretty'. My guess is that you haven't renamed the htaccess file, like the (!) note next to that option states. Feel free to try renaming that file, turning on that option, and clearing the cache (see step 3).
2) Enabled the System - SEF plugin. No clue why this was disabled, but it's what makes the pretty URLs on your site.
3) Cleaned your cache to regenerate all URLs (Help->Clean Cache).

Please test, but it all looked good to me from a quick test!
Alex

Kiril,
The title and description portion is actually pretty easy, but requires a little effort. In your articles, or different pages, you need to specify the Open Graph tags which Facebook uses to set the title and description for those pages. You can set the default title and description in the JFBConnect admin area, in the Social area under the Open Graph tab. First, make sure that Open Graph integration is enabled. Then, to set a default for all pages, if you want, do:
title=Default title for all pages
description=Default description for all of your pages

Then, on each individual page, in the video's description, or using a custom HTML module, simply put:
{JFBCGraph title=Better title for specific page}
{JFBCGraph description=Best description for this page}
{JFBCGraph image=http://site.com/image-for-page.jpg}

Then, you can use Facebook's Linter tool to see what Facebook will use as the title, image, description, etc for each of your pages:
developers.facebook.com/tools/lint

Hope that helps, and let us know if the SEF stuff has issues. Without the htaccess modification, the index.php will remain, but don't think that should be a deal breaker, and the URLs are still much better than before.

Good luck,
Alex

Kiril,
No such things as 'last requests' around here. Your a subscriber. If you run into issues, we'll help you fix them.. there's not a limit we put on support.

We'll gladly look into it further, but can you (either here or in a Private Message) let us know:
1) A specific page to test with
2) Where/how you tried to add the {JFBCGraph.. tags, so we know where to look. Not familiar with your video component, so wouldn't know where to start immediately, and don't want to have to investigate too much.

Thanks,
Alex

Denev,
I think I found the issue. Similar to the extra head section you had on your page, there seems to be an extra 'html' closing tag. Search the page for it, and you'll see it pretty high up on the page at line 32. For something that searches your page (like Facebook or Google) this would likely be the last line they'd look at, so anything below there won't be seen.. which is obviously very bad.

Fix that, and hopefully, you'll be good to go!
Alex

Denev,
It is working now. You'll want to use the Linter to see the tags in action. The tags are cached by Facebook and only updated every 24-72 hours. Therefore, if you change the tags and try to Like the page immediately, you'll still see the old values.

To see what Facebook sees on that page, look here:
developers.facebook.com/tools/lint?url=h...e%2Fplayer%2F296%2F2

Hope that helps explain, but I think you're good to go now with adding your own custom tags!

Good luck,
Alex