The forthcoming Hobbit movies (ie part two and three) have already been shot.
Not quite. Although the series was originally planned for two movies, the third installment (There and Back Again, which was originally the second title; now The Desolation of Smaug) came up last July and requires additional filming which is yet to happen. Sources suggest it might happen during Summer 2013.
?The Hobbit 3? Edges Closer to Production
Source said:THR reports that they have sources close to The Hobbit telling them that Jackson is indeed pushing forward with his intention to turn The Hobbit into a trilogy – a plan that would require the cast and crew to reconvene for additional shooting (which, it is speculated, would take place next summer).