Matt Smith's Skynet was foreign. He was from a different parallel timeline, who had the power to travel sideways in time to alternate timelines rather than just backwards and Forwards. This was explained in an apology letter from one of the writers. Posing as a tech priming the displacement device to send Kyle back to 1984, Skynet (who seems to be from the future of a parallel timeline (Imagine a 2068 where humanity has been dead for 50 years and Skynet rules the earth, which isn't this timeline because we just saw John say that Skynet was dead.)which is how Skynet had superior tech to the Skynet the John just destroyed.) had the acumen to send Kyle diagonally to the wrong 1984 rather than in a straight line to the right 1984 in in the original movie, and might have, although there are other possible explanations, but that's the one I like.
Matt Smith's Skynet was going to play a bigger part in the next two movies.
John wasn't killed in 2027. He was converted and recruited.