Nah, likely not any action on your part. Like'ing 20 things is nothing, in Facebook's eyes. I would recommend not un-Like'ing them though as that can falsely give your app a bad reputation (you don't want people un-like'ing things, it's like marking an email as spam).
Most likely, your issue was just a hiccup in loading the Facebook Javascript libraries. The effects you mention are exactly what would happen in that case. That can either be a problem from your computer connecting to Facebook or a problem with Facebook itself. Since it happened across multiple sites, that also likely explains that it's more 'not you' than it is something underlying all the sites.
Either way, it's fixed now, and hopefully, you won't run into any other issues. If you run into anything else though, just let us know!
Finally, please consider leaving a rating and review on the Joomla Extension Directory for JFBConnect, or our support. It's certainly not required, but very appreciated!
extensions.joomla.org/extensions/social-...ook-integration/7215
Thanks, and good luck,
Alex