Something I noticed when I saw the third trailer and that was only enforced by this new 'super preview' is that it seems as if Peter Parker's secret identity as Spider-Man becomes not so secret at some point in the film, at least when it comes to both Gwen and Captain Stacy (and possibly the NYPD). If this is the case, I find it interesting because I can't recall another version of the Spidey story where both Peter's love interest(s) and the public authorities (or at least one public authority) become aware of his secret.
It's surprising they're revealing that in the trailer because it would seem to be an important plot point and one that would take many by surprise. Maybe it's just another way to show they're different.
In the comics Capt. Stacy knew his identity, I'm not sure if he does or not in this movie.