Plot hole: Char is able to escape from Side 7 simply flipping a couple grenades he had on his person (shaped like the old style pineapple grenades) who tear huge holes into metal walls with a visible thickness in excess of a meter, including the outer wall of the space colony a salvo of Mega Particle Cannon from the battleship didn't break. If Zeon has such explosives at their disposal, then maybe they should not fight with battleships and giant robots, but simply have footsoldiers toss tiny grenades at the enemy. (00:15:00)
Other mistake: Bright gets notified that one of the two Zakus is approaching at a velocity 3 times higher than a normal mobile suit's. However, the two dots on the radar (Char and his subordinate Slender's) move in parallel at the same speed. (00:18:15)
Continuity mistake: When Amuro returns from his mission and enters the bridge of White Base, Sayla at her station has a man with a broken arm next to her. When she was seen earlier manning the engineer station, the officer next to her had just a bandaged head; the one with the broken arm was the one instructing Hayato about the missile controls. (00:16:50 - 00:21:45)
Continuity mistake: The distance between Char and Sayla when she holds him at gunpoint diminishes greatly between shots - to the point that he can just kick the gun off her hand. (00:13:00)
Continuity mistake: When Char boldly dashes into White Base with his jetpack, Sayla is sticking out of the Gundam hand positioned differently between shots. (00:14:00)