The good news about this teaser trailer is that, on a technical standpoint, it's put together and edited very well. It does an excellent job at establishing the character of Peter Parker, showing him to be a shy, awkward, and very lonely young man who still trying to cope with feeling abandoned by his parents after their death.
But the tone of the trailer? It's moody, it's brooding, and takes itself way too seriously. Until you get to point-of-view sequence of Spidey jumping and swinging over the city accompanied by a swelling orchestral score, this doesn't come across like it's film about Spider-Man, this comes across like David Cronenberg's The Fly as imagined and written by Stephanie Meyer--a teenage horror flick (in this case body horror) in which the lead is yet another angst-ridden, insecure, passive-aggressive loner.
Granted, I get that Spider-Man does have elements of teenage angst and isolation in it's roots, but it also conveys a sense of fun. And it's that sense of fun that this trailer sorely lacks and I'm afraid will not be in the final product.