How many people have mistaken Castle and Beckett as a couple?

I mistook them for a couple for the first two episodes I watched. Then Demming showed up and I was like, "whaaaaat?"

There is a few people that thought they were a couple. You see Alex Conrad needed Castle's "Permission" to call Beckett. Will Sorenson (Beckett's Ex Boyfriend) He knew that Castle 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. You have everyone at the precinct thinking that Castle and Beckett should be together! :D Also Josh noticed because he was protective of Kate when Castle was around. You had Royce (Beckett's police trainer) he knew that they had something real in the note that he wrote her he told her! There you have it there is sooo many people that thought they were a couple! :)