Pretty sure that passport is fake.
1, her hair on the left drops from the boundaries of the photo and onto the passport background. That's fishy...
2,Also I remember discovering some trademarks held by "Katheryn Elizabeth Hudson" back in 2011. That passport says it was made in 2011, I don't think she ever actually changed her name.
3, That picture I remember I believe is from a summer 2010 London concert, because of what she's wearing. Why would Katy use a picture that a year old, along with her wearing a stage costume?