When Sir John denies Crozier's request to send out a search part Crozier has his left arm behind his back. During the scene it switches from left to right and back again.
Mr Goodsir takes a photograph with no film in the camera. The image at the back of camera is used to check focus and framing before loading the camera with a sheet of film in a dark slide. Once the camera is loaded with film the screen would be black and there would be no point looking at it.
Henry Goodsir makes a photography of John Franklin and a few crew members. He uses a russian pocket watch to count the seconds for the exposure. This pocket watch is made in the USSR (CCCP). Soviet Russia didn't exist in the 19th century.
At the Admiralty, a ship model (apparently a 1:100 model of HMS Victory) appears frequently in the background in different places: in the waiting room with Lady Franklin, in a hallway during the discussion between Sir James Ross and Sir John and again when the commanders are discussing. It is obvious that the model is a rather expensive and/or delicate prop that the production kept moving around.
26:10 - Dr. Goodsir uses a stopwatch marked as "Made in USSR", before the said country existed.