When Clark Kent is shot, he has turned to his right and his body is covering his right arm from the shooter. Later in Perry White's office he claims to have been wounded in his right arm, which is impossible.
Mr. Garrett has one million dollars stashed away somewhere. When Jimmy and Lois find the money in the floor, that case is too small and seems to weigh very little to be holding one million dollars.
Near the end Lois, Jimmy and Inspector Henderson are tied up at the mine entrance. Superman stops the bad guys and then goes to untie Lois and Jimmy. Inspector Henderson unties himself very easily.