As for the socializing... Well, Corvin does a good job playing the doting father. He manages to make connections with all the big pureblood families, as well as plenty outside them, but also plays friendly with folks from the Ministry, the Wizengamot, and he and Harry achieve something near to socialite status. They can hardly visit Diagon Alley without being swamped by people who want to have a lovely little chat. Everyone seems quite charmed by Corvin’s positive, joyful disposition, and his clear flouting of anything even close to the usual pureblood ideology and prejudices (which the rest of the big families are guilty of maintaining). He makes a point of not asking, not questioning, not even thinking about blood status of any sort, going so far as almost berating anyone who brings up such foolish things near him. People seem to enjoy his company simply because he enjoys theirs. It’s quite the sight to see.