There is a few people that thought they were a couple. 당신 see Alex Conrad needed Castle's "Permission" to call Beckett. Will Sorenson (Beckett's Ex Boyfriend) He knew that 성 liked her. The Red head woman who was a profiler thought that they were together. Castle's Ex girlfriend who is know married said to Beckett "He's All Yours" The FBI guy who helped them when there was a bomb and when they were in the freezer. He thought that they were a couple. 당신 have everyone at the precinct thinking that 성 and Beckett should be together! :D Also Josh noticed because he was protective of Kate when 성 was around. 당신 had Royce (Beckett's police trainer) he knew that they had something real in the note that he wrote her he told her! There 당신 have it there is sooo many people that thought they were a couple! :)