When Bill Gates and Paul Allen are working out of the motel they are staying at in Albuquerque, there is a sign in the window that reads "Microsoft". At that time (1975), Microsoft was spelled as "Micro-Soft".
In an early scene, where Woz and Jobs were chatting about the future (in Captain Crunch's bedroom or dorm room), there is a Star Trek poster hanging on the wall. The Enterprise shown is the earliest version from the original TV show, but the poster ("All I need to know about life I learned from Star Trek") was produced in the 1990s. The words above "Star Trek" have been trimmed off.
When Wozniak accidentally sets fire to his computer made from spare parts, just as the local newspaper arrives to cover the story, a brief shot of the newspaper article (Boy Laughs as Computer Burns) follows, part of the text states "Steve's freind Steve Jobs" - with 'friend' misspelled as 'freind'.
When the Microsoft crew arrive at Apple's headquarters, they pull the car in to a parking spot with no spaces left on the passenger side. When the camera angle changes, there is suddenly parking spaces seen on both sides of the car.
In the scene where Steve Ballmer is discussing joining Microsoft in 1980 and Bill Gates says "Keep your friends close, but your enemies closer", Gates is initially shown typing on an IBM PC XT keyboard. Shortly thereafter, in the frame where he is hunched over the keyboard with Ballmer and Allen over his right shoulder, he has an IBM PC AT keyboard.
After John Sculley tells the group that someone needs to make a toast, as Steve Wozniac turns to Mike Markkula, the shadow of the camera is obvious across Mike's face, and it fades away when the camera backs up.
Japan did not manufacture or use Microsoft-run computers when Windows was introduced, China manufactured the computers. Jobs states that his people came back from Japan with computers with the first copies of Windows.