IN UNIVERSE
MORALITY:
Peter is a good kid at heart, he understands the difference between right and wrong and tries his hardest to do the "right" thing. But, like any average teenager, he's a bit reckless and doesn't always follow the rules -- such as not listening and disabling the security protocol that's installed on his suit -- but he believes that he's breaking them for morally good reasons. Stopping bad guys from robbing a bank, keeping a packed elevator from plummeting to the ground, trying to keep a full ferry from splitting in two, tracking guys with stolen alien technology. Peter sometimes puts innocent people in the way of danger in the process, but never intentionally, and always immediately does he try to remedy it and keep them safe. He wants to do good, he wants to help the underdog and the average person because he doesn't feel like there's anyone out there doing that.
WAR ATTITUDES:
While Peter is more than familiar with fighting alien creatures, superhumans and bad birdmen with crazy weapons, Peter is most importantly an underdog and wants nothing more than to help out the little guy. He doesn't go looking for fights or trouble recklessly, a large part of his reason for protecting Queens (in the form of giving old ladies directions, saving people and cats from burning bodegas, and retrieving stolen bikes.) is simply because he thinks that someone needs to, because he cares and because that's his city. He's willing to fight alongside others, as long as it's for what he believes to be is the right reason.
INTIMATE RELATIONSHIPS:
Peter isn't particularly popular at his school. He's never shown having a large group of friends -- even his teammates for Academic Decathlon couldn't really be considered his close friends, they rarely hang out with one another outside of practices -- but the people that Peter does care about, he cares for with everything he has. Even despite not being particularly close with one of his teammates, Flash, who often picks on him, Peter still comes to his rescue when the elevator inside of the Washington Monument is ready to crash. In regards to intimate relationships, Peter is fairly shy. He doesn't have very much confidence in himself around anyone that he likes and quite often comes off awkward whenever he tries to make any kind of conversation or moves. Although, sometimes it works out in his favor.
COMMUNITY CONTRIBUTIONS:
Seeing as Peter is still a teenager (and kind of a nerdy one, at that.) he'd be anxious to continue learning, and to discover everything that he can about the new world that he's in. He'd also be more than likely to try and get back into being a friendly neighborhood Spider-Man. Trying to stop crime and whatever other baddies might show up -- although, sometimes not-so-successfully. Peter cares very deeply about the community that he lives in and the people that are a part of it. While he'd be more than willing to go out and fight on the front lines if he's needed (or really, even if he isn't.), he wouldn't hesitate to stay back and help build the community, using his natural affinity for technology to lend a hand in any way that he can.