Facebook Like Button Discrepancy Between Application, Website and New Community Page
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I have a live website currently (www).  

About 4 months ago we launched a Facebook Application (FB APP) that introduced our product.  At that time we created a "like" button that is connected to (www).  There are currently 80 likes when I look at the app page. 

Within the past month Facebook created, what I believe is called a "Community Page" (FBCP).  I believe that this is just an interface that allows me to communicate with people who "like" my (www).  Nobody else can see this page (Not a Fan Page). This pages says that I have 30 "likes" currently.

I have a checkout page on (www) that has a "like" counter that we generated based on (www).  This counter about 3 weeks ago had about 110 "likes" on it.  Recently the number has dropped to 80.  It was about 110 and now 80.

My questions are...

 1. Did something change with how Facebook looks at the community page vs the website (www) and separate the likes between each?
 2. Is there a way to merge both groups together?
 3. Is there a way for me to claim the Community page or convert to a Fan Page?  FB says yes, but the documentation on doing this seems out of date and I can't get to links they document actually exist.
 4. What distinguishes FBCP "likes" vs www "likes".  Some of the people are in both???