Revealing mistake: Charlie calls Rose to take the tiller, for the first time. She has a hamper on her lap, but there's nowhere to put it, so she takes it out and lowers it down below the bottom of the screen, then she takes her hands away and the hamper quickly disappears. Some crew member must have taken it away.
Other mistake: In all of its appearances, the British flag (also known as the Union Flag and the flag of the United Kingdom) is wrong. The flag's X-shaped red Cross of Saint Patrick is shown as (a) wide, and (b) centered on its white background, whereas on the actual flag, it is (a) thin, and (b) not centered on its white background, but rather off-center in a counter-clockwise direction.