If you create a new Joomla! template according to the docs here
docs.joomla.org/Creating_a_basic_Joomla!_template and install JFB Connect and configure Facebook correctly, it will work but should you activate the auto-login feature it will cause a redirect loop. I suspect it is because of the pop-up messages but I cannot be sure.
Creating a module position for messages ( <jdoc:include type="message" /> ) does not help and neither does it help for a debug module position. Possible JFB Bug or an overlooked necessity? Using the default protostar template works.