Thanks for responding Andrew.
1. Does the Facebook I should be using exist yet? I’m using “Facebook Share.” I see “Facebook Like (iFrame),” “Facebook Like (XFBML),” and “fbshare.me.” Will the one I’m meant to use permit sharing, or will I be limited to liking things so that they appear on my timeline?
2. I add images using the “Upload/Insert” button when creating a new post.
3. Buffer’s indeed working. I was confused b/c the number changed even when I just clicked it and didn’t Buffer anything, but then it would revert. Now that I actually posted a tweet via Buffer, the count remained.