Steve Jobs was fired in January 1985, not after his birthday in 1984.
In a scene 1994 the boss of Commodore talks about the "new thing", the "Internet". However the Internet was already created in 1989 and was used for commercial processes in 1990 while the first graphic browser was done by AOL in 1993 (Mosaic). So it wouldn't be new in 1994.
The Smashing Pumpkins didn't play at Woodstock '94.
Billy Corgan is shown with a shaved head at Woodstock 1994, but he didn't actually start shaving his head until 1995.
In the movie John Sculley gets the first offer to be the CEO of Apple in 1984 while in real life he got it in 1982 by Apple PM Gerry Roche, which he however declined and accepted only in 1985, not in 1984 as showed in the film.
The mainboards used in the scenes in the 1970s-80s have USB-Ports on them, which in their earliest version were only in 1996 and weren't common until the 2000s.
The announced movies at the same time in 2003 at the movie theater were all released in a different year than shown. "Antz" was released in 1998, "Robots" was released in 2005 and "Delgo" came out in 2008, not in 2003.