Can I integrate JFBC to Facebook event?

Unfortunately, the only actions that we currently support for JomSocial are for joining a group or posting a photo. I can add an issue to our tracker to investigate adding this feature for a future release, but wouldn't have any sort of timeframe for when it could be included.

-Melissa

We don't support automatically posting content you create on your site, like JomSocial events, to your Facebook Page. However, you can use our Channels feature to setup different Facebook Pages or Groups, Twitter Streams or LinkedIn Company pages that you can easily post your content to:
www.sourcecoast.com/jfbconnect/docs/posting/
With the channels feature, after you create an event, you can go to the page and use our social toolbar to "Create Post" and push that event to any of your social channels manually.

What Melissa mentioned above was our Open Graph Actions feature, which can automatically post back to a user's own timeline whenever they join a JomSocial group or upload a photo to a group, their profile (and possibly an event). For more information on Actions, see:
www.sourcecoast.com/jfbconnect/docs/open-graph/actions/

Also, for a good demo video of what we can do with JomSocial, see:
www.sourcecoast.com/joomla-facebook/jomsocial

Alex