Coming Home - S1-E13
Plot hole: Amuro flies the Core Fighter to the refugee camp. Taking a plane to get just across a hill is already kinda a headshaker, especially with White Base being short on resources, including fuel that is an issue in this very episode.Anyway, he lands it in the middle of the camp, and the people there tell him to please hide it. Later in the episode, we see that Amuro indeed hid it, in the middle of some woods, covering it perfectly in branches and other things. How in the world did he get the fighter there and on his own did all the camouflage work on the huge thing, is a prodigy of off-camera work.
Coming Home - S1-E13
Plot hole: The logistics of the episode don't really make sense; Amuro's home village is held by (literally) a handful of Earth soldiers cut from their main force and that spend their time getting drunk and acting as occupation force, but Zeon has a full base (again, literally, almost) next door that sends reconnaissance troops and even aircraft to check for any activity at the refugee camp. There's no reason why the undisciplined and free soldiers would stay in such a dangerous position where they could be wiped out by overwhelming forces anytime, nor why Zeon would keep a pocket of the enemy forces that they can crush with ridiculous ease.