Continuity mistake: During the truck scene, when the truck has just come off the bridge, notice the sign on the right hand side says "24 hours." Seconds later the sign seems to have mysteriously disappeared.
Continuity mistake: During the pool fight scene, you can see there's an orange ball next to the upper left pocket. In following shots it's no longer next to it and it has a dark ball in front.
Sacha
Continuity mistake: When Sarah Connor throws the keys to a male orderly to distract him, Dr. Silberman is standing right behind him. Two shots later, we see the doctor several feet away. The time lapse between the two shots was only one or two seconds. (00:56:25)
Continuity mistake: At the steel mill, the T-1000 points his finger at Sarah and tells her to call John. The style and position of the loose hairs around her forehead change between frames.
Sacha 
Continuity mistake: When John stops his bike at the canal, a supermarket trolley and a flat tire appear behind him. (00:35:00)
Sacha 
Chosen answer: Two possibilities. 1: The Terminator is emotionless, so the killing isn't personal, but rather what it's programmed to do. 2: Sarah Connor's plan to kill Miles Dyson to stop Skynet's creation.
Captain DefenestratorIt's also a sly nod to another famous tagline, Jaws: The Revenge. "This time it's personal."
BaconIsMyBFF