Other mistake: Cpt. Yelland and civilian observer Lasky are trying hard not to mess up with the timeline. Changing little things in the past could have tremendous results in the present/future. However they already disrupted the natural timeline by shooting down 2 Japanese Zeros, killing both pilots, leaving behind CAG Owens in 1941 and rescueing secretary Laurel Scott who would've been killed for sure by the two previously shot down Mitsubishi Zeros.
Other mistake: When they are running through the surf and up the beach in North Africa, there aren't any landing craft in the sea behind them. (00:10:22)
Other mistake: After Lord Buntaro's archery demonstration, Blackthorne comes over to the post which now bears the three arrows shot by the Japanese. In the paper wall behind him a hole can be seen, which is to be the spot through which the arrows have come. but the arrows and the hole do not make one straight line, which would have to be the case if the missiles were to really have arrived from there.