I'd have to recommend a few tests to see where, and why, the modules are showing in the wrong spots. First, disable the Content plugin altogether and see if the comment and Like blocks go away. If so, then it may just be a configuration parameter (such as Show on Front Page) that is set incorrectly. Then, make sure you've disabled any JFBCLike or JFBCComments modules that you may have enabled. Again, check if the blocks are gone, and if so, see if you can narrow down their display to specific menu items a little further. Finally, if none of the above helps, unpublish all and make sure that Joomla's Caching in the Global Configuration is disabled. Rinse, repeat the above and see if things look better and start enabling modules/plugins from there.
Hope this helps get you started on the possible areas to look. In JFBConnect 3.2 (due in the next few weeks) we have a completely revamped, and easier, system for including the Comment and Like boxes throughout your site, based on category, section or layout (front page, blog, article, etc).
Let us know if you continue to have issues, and we'll see what we can do to help!