What's the best way to hammer relationships using Opengraph endpoints?

I want to score a relationship between two people, a sort of index or meta score based on a number of factors.

These factors include:

• Number of mutual friends
• Number of reciprocal films
• The amount of mutual music like
• Number of photos marked as
• Number of messages and from each other

Using Opengraph and the Facebook API / SDK, I cannot find a way to easily achieve the last two of the above points. The first 3 should be easily reachable with endpoints like: https://developers.facebook.com/docs/graph-api/reference/user-context/

So how could I easily get these numbers in a few API calls?