Will,
First off, you posted in the Joomla 3.x support forums. I'm going to move this post to the Joomla 2.5 area after this post, so look for it there.
As to your issue, when I click the Invite Friends or even the Login With Facebook button, a popup appears that says "An error occurred. Please try again later.". That means there's a mis-configuration in your FB App. Can you run Autotune and hit the "Refresh" button in the FB App section to make sure all your settings are correct. If everything is right there, please check your app in the developer area and make sure it's not in "Sandbox Mode". If so, that will prevent a lot of functionality from working since it's not a 'live' application.
Hope that helps, but if not, let us know.
Thanks,
Alex