If it shows in the Activity Log on Facebook, that's the important part as it means communication is occurring and the actions are posting. For deleting actions, only the user can delete their own actions from the front-end of the site. We don't offer the ability to delete actions in the admin area on behalf of the user as that's really up to them. To delete the actions, you can create a menu item for the JFBConnect Open Graph Activity and navigate there to delete them.
If the popup isn't showing, that's likely caused by some Javascript or PHP issues with the AJAX requests. If there are any issues with the response, it won't properly show up, but the fact that the action is posting means you're pretty much there.
If you can tell me how to test the action, I can try to go the article page and get it to trigger. Leave the "Display Facebook API Errors on Front-End" setting enabled and I'll let you know what I find.
Finally, no, even if your subscription isn't active, the actions will work. We don't disable functionality at all when a subscription expires.
Thanks,
Alex