I assume that he picked it up when his grandfather collapsed.
Tom Cruise's cousin played the Guy in the Wrong House. Crinkles his face in the same way Tom does.
Both, is my guess. Boden probably knew he should recognize Buckley, but since he's no longer the robust guy that Boden remembered, he needed time to make the connection.
Probably no one was wondering what the Siegel-Cooper building looks like, but it is now probably the classiest Bed Bath & Beyond in the country (photo: Wikipedia).
Can someone confirm? Bay Ridge seems more likely, since it's a much bigger church and BB does so much filming around there. (Tangent: the second one--St. Patrick's Old Cathedral--is where Martin Scorsese was an altar boy.)
Apparently the surrogacy's illegality (in New York State) meant that the judge couldn't rubber-stamp his claim. I think the DNA matters, but the legal process is more complicated.