Factual error: Kyle and the others humans should be malnourished because of the lack of food in 2029, but no-one seems anything like that, even Kyle is in great shape.
Factual error: When Sarah Connor plays the boom box, the cassette tape is all the way to the right spool, which means it's at the end and must be rewound to play.
Continuity mistake: John has the scars on his face from Terminator Salvation events indicating that it's the same and original timeline, and also Skynet was going to send the T-800 to 1984, but the original T-800 is sent once again in Genisys.
Suggested correction: Terminator Salvation and Terminator Genisys are not in the same continuity. The scars on John Connor's face have been a recurring feature since he was shown in Terminator 2 (played by Michael Edwards). Both Salvation and Genisys were referencing this original design of the character.