Invite feature not working

I'm not seeing the Invite module, or JFBConnect in general, on that page you sent. Can you link to the exact page it's on and we can investigate further.

Part of the issue may be due to some of the other Facebook add-ons you're using. JFBConnect 2.x uses the 'old' Facebook API. We'll be releasing 3.0 of JFBConnect toward the end of this month or early next month, which uses the 'new' API which will increase compatibility with some of these modules, and also will include many modules on it's own.

Yes. This is a bug that was reported in the forum post below. It seems Facebook changed how the invite feature worked last month, and we're still investigating a fix. From what we're hearing, it's not across the board for all users, which makes it more difficult to narrow down. Please follow that thread for updates:
www.sourcecoast.com/forums/topic?id=1141&p=1#p4084