Continuity mistake: On the spaceship, Peter is talking to Tony, and has his hair swept back with gel or similar. When he says "You can't be a friendly neighbourhood Spider-Man if there's no neighbourhood", we cut to Tony then back, and Peter now has a fringe with no gel. In later shots it's back how it was before.
Continuity mistake: At the school, when Scott's suit is malfunctioning and he's big in the janitor's closet, his head is tilted towards his right shoulder. When Hope is working on the suit, we see Scott's head is now tilted towards his left shoulder, even though he's stuck and wouldn't have been able to move around like that. But in the next shot it's back to his right.