Can you post (or Private Message) me a page to test from?
For the "Action not associated" error, please check your Action configuration in the JFBConnect -> Open Graph area. At the bottom of the action editor area, ensure that the correct objects are selected for that action to work on it.
In IE (or any browser) if the user isn't currently logged into your site using JFBConnect/Facebook, we will try to authenticate them using Facebook when they click the action button. If you have the New User or Returning User redirection setup to bring them to a new page, they will be redirected. We're planning to 'fix' that problem by allowing custom redirections in certain cases.. in that case, the user would always be left on the same page. Right now though, you may want to leave your redirects set to "Same Page", at least for "Returning User Redirection".
I hope that helps,
Alex