Continuity mistake: When Clark first meets Lois and the staff of the Daily Planet, he is wearing a handkerchief in his suit pocket. After using it to wipe up the spill from the soda, he stuffs it loosely back into the pocket when he exits Mr. White's office. A couple of shots later, it is neatly folded back into a triangle. (00:53:15 - 00:54:15)
Continuity mistake: At the police station, the counter swaps from being stacked with papers to semi empty when the angle changes.
Sacha
Continuity mistake: When Jimmy is rescued by Clark in the Hoover Dam, Jimmy's hair during the flight is way longer than when he was hanging.
Sacha Continuity mistake: During the first scene inside Perry's office there's a radio on the background resting on a white book and a fat red volume. The white book changes positions depending on the angle.
Sacha Revealing mistake: After saving Jimmy from falling to the dam, during the flying sequence a couple of wires are seen between them.
Sacha Continuity mistake: When Lois's car first runs out of gas, the car radio is running. When Superman comes back after turning back time, the radio is off.
Continuity mistake: When the young soldier is about to reanimate Ms. Teschmaker his helmet is behind her arm. When the Captain lifts him up the helmet appears one meter away from the arm.
Sacha Continuity mistake: Jor-El teaches about Einstein during Kal-El's voyage to Earth, but when Superman talks with him in the Fortress, Jor-El says "I will have been dead for many thousands of YOUR years".
Other mistake: In the extended version, there is a scene where the people are watching the news about Superman saving the chopper. The TV shows footage from below and from the other side of the building - no one could take that shot.
oswal13Continuity mistake: Superman's hands' position when holding the fuselage of the plane swap between shots.
Sacha Continuity mistake: When young Clark is running next to a train, he passes by a pole on the ground. Half a second later the angle changes and he is inches away from the pole, which he passes by again.
Sacha Continuity mistake: When Superman and Lois are being mugged in the alley, watch Clark's tie before and after entering; there's a thick blue coloured stripe near the knot, which later disappears.
Sacha Revealing mistake: In the extended version, when Luthor fires snow at Superman, the icicles bounce, rather than shatter, revealing they are some type of foam or plastic balls.
Sacha Continuity mistake: When Krypton is exploding, Superman's mother looses her balance and falls backwards. In a new angle a frame later she is up-straight loosing balance again.
Sacha 
Revealing mistake: When in the prison yard, Luthor's bald cap is hanging loose around his nape.
Sacha Continuity mistake: The first shot of Lois' red car shows it clean and shiny, a second later it's all dusty and dirty.
Sacha Continuity mistake: When Luthor smashes the green car, its wreckage is different in the shot when the soldiers arrive: The hood is open wider and the windows are broken.
Sacha Continuity mistake: During the trial, Zod and Ursa swap places in a couple of brief shots.
Sacha Continuity mistake: At the end of the football game, a guy with a cap tells Clark to have the clothes ready. But his lips are not in synch.
Sacha Continuity mistake: When Clark Kent falls out of the window of the Daily Planet and turns into Superman you can see that he is still wearing slacks and not blue tights.
Chosen answer: No. Because the version of him *before* he time-traveled is still out doing those things. The REAL question is, what happens to that Superman, seeing as Lois no longer dies and he has no reason to travel back in time.
JC Fernandez