1. We've just added this feature in today's update, v1.0.2. Please update your plugin and you should be able to have the Like button and other social plugins show only on posts, and not pages.
2. It seems to be working properly for me. Try updating for now and let us know if you still have issues.
By the way, after liking your post and publishing to my timeline, then clicking on the link on my timeline to go back to your post, it needs me to authorize the facebook app you made in order to follow the link, which shouldn't be necessary. You can probably fix this by going to developers.facebook.com/apps then
-find your app and click on "Edit App" in the top right
-click on "Auth Dialog" on the left
-uncheck "Authenticated Referrals"
-click "Save changes"
(That's if you're using Facebook in English, of course.)
I'm marking the thread as resolved, so feel free to open it back up if you continue to have issues.