The comment box you're using in the right sidebar is simply too small. The minimum width for a comment box is something like 250px which will allow the comment input text area and the "Post" button to display. It simply won't fully work in such a small area.
For the "Recommendations", I'm assuming you mean the recommendations never change? The way it works is that if the user is logged into Facebook, the recommendations will be displayed based on what Facebook things the user will like. That's chosen based on what other users on your site have Like'd and, especially, if any of that user's friends has Like'd any content.
If you're seeing no changes in recommendations, it means:
* The user isn't logged into Facebook
* There aren't enough Like's or Comments on content on your site for Facebook to generate recommendations.
I hope that helps explain,
Alex