James,
When I run the Autotune Error Check tool on that page, I'm getting the following warning:
Test: Facebook Javascript library inclusion
Warn: Another Facebook extension is installed, including the Facebook Javascript library, and may conflict
You'll need to fix that problem as it's likely causing part of your issues. The Facebook Javascript library looks to be included by both of the following modules:
ITP Share
Facebook FanBox / Like Box module
Once those are removed, also make sure your Facebook Application is not in "Sandbox Mode", which is a setting you can change in the Facebook Developers area.
After all that is fixed, it should work, but if not, let us know.
Thanks,
Alex