After looking at your stream, it looks like the blank posts are actually times when you have liked the statuses on other pages. There's actually not a real message to display besides you like someone else's status, so I think it's better to just omit them from the stream feed. These don't show up in your Page's timeline as stories, so that's why it was a little confusing without seeing the data FB was sending back.
By the way, I made a small code change on your site and will be checking it in to be included in the next release. In components/com_jfbconnect/libraries/provider/facebook/channel/page.php around line 69, I changed:
if(array_key_exists('from', $data) && ($this->options->get('show_admin_only') == 0 || $data['from']['id'] == $pageId))to
if(array_key_exists('from', $data) && array_key_exists('message', $data) && ($this->options->get('show_admin_only') == 0 || $data['from']['id'] == $pageId))
This should fix your issue, but let us know if you run into anything else.
-Melissa