Re: GAMES/MINGLING/ETC Clint plays all the games. He's competitive, okay? He also mingles because it's his home so he's sort of one of the hosts. He'll take you on a tour of the grounds (though maybe not in the house for security reasons unless you're one of his Avengers?) and chat renovations and projects. It's possible anyone he trusts with his kids will wind up saddled with said kids if he has to run off to do something.
Loki does friendly dog stuff if he's there, although after the whole Thanos face twin thing, he'd be keeping close to Thor's side, assuming Thor is there. If no Thor, then definitely no Loki. He's super paranoid.