When Dr Rathman interviews the brainwashed soldier, the pieces of the torn photograph change position depending upon which of them is in shot.
When inspecting Rathman's boat, Danno discovers something in the topside cabinet. He calls McGarrett up from below to see what he found. You can clearly see that the cabinet doors are still closed. The camera cuts to a close-up and the doors are wide open revealing the contents.
During the final scene in the March Foundation's offices, McGarrett and Dr Rathman (Andrew Duggan) are photographed with a gray metal bookshelf between them and the camera. The crew attempted to hide the boom mic behind the books and other objects on the top of the shelf, but the boom is visible through a gap in those objects, particularly when it is moved around.