Awesome. Glad to hear you're liking the Open Graph plugin and our K2 integration.
As for transferring the site, I don't know the exact answer cause we've never dealt with that. My understanding though would be that no, you wouldn't have to resubmit the action. Once approved, your action is approved *for that application* until it's rejected for some reason (if you're found to violate a term of service or something). So, if you switch URLs and update your FB Application URL (either with Autotune or in the FB Developer area), the action should seamlessly work on the new URL without any action on your part.
Hope that explains, and if you do switch URLs, definitely let us know how it goes! We'd love to hear your experience.
Finally, if you haven't already, please consider leaving a rating and review for JFBConnect, or our support, on the Joomla Extension Directory. It certainly isn't required, but is very appreciated:
extensions.joomla.org/extensions/social-...ook-integration/7215
Thanks, and good luck,
Alex