Plot hole: Superman could have easily caught both missiles, proven by how fast we see him flying around the globe just a few minutes later. He's fast enough to circle the globe multiple times in seconds, but struggles for minutes to catch the missile.
Suggested correction: Superman had never flown that fast before in the movie. It could be argued that he was still in the process of discovering and pushing the limits of his powers and it was the emotional episode of losing Lois that motivated him to push himself.
Continuity mistake: When Superman catches the cat burglar, when viewed from inside the window the soles of his boots are red. After Superman saves Lois and flies away from the daily planet building his soles are black.
Suggested correction: After he flies away from Lois, the bottoms of his boots are visible for only a couple of frames. Mistakes that require freeze framing are not valid.
Plot hole: When there is a big explosion at a plant and Superman flies in to save the day, all he does to stop the explosions is pull down the toggle of a huge switch situated on the wall; if this is all that was needed to stop the explosions, then why didn't one of the workers do it, and save Superman the trouble of flying all the way out there to do something which one of the workers could have done easily.
Suggested correction: The toggle was red-hot. Workers couldn't touch it.
Suggested correction: Listen carefully just before Superman arrives. A worker can be heard saying they can't pull the lever because it's red-hot.
