Other mistake: Amuro's strategy relies on attacking the enemy having the sun behind himself, but when Ryu sees the Musai for the first time it is clear that the sun is behind Char's ship. (00:10:20)
Other mistake: During the loading operation of the Zakus, the catapult is broken, and one of Gadem's subordinates dies in his arms. The guy has been hit by a salvo of bullets from the Core Fighter, thick enough to make holes in the ship hull, but no hole whatsoever in his spacesuit, visible entirely. (00:17:15)