There is a character reading a newspaper in the film that is dated 1962. However, the Parr family watches the title sequence for The Outer Limits, which first broadcast in 1963 and the Jonny Quest episode Jonny Quest: The Robot Spy which was first broadcast in 1964.
In the first movie, when Edna Mode is activating the security system, the notes Elastigirl is with her and gets set to attack, prompting Edna to add "and guest" when using the voice recognition system. In this movie, while Jack-Jack is activating the system with Edna, Mr. Incredible doesn't set off the system's alarm the way Elastigirl did.
When Elastigirl brings the train to a stop, she is seen entering the station at speed in parachute form, coming to a stop some distance through the station. When the train stops before being hit again by the trailing can, she appears to be quite close to the station entrance.