Oh, as far as hanging out and drinking after the game, you're really missing something if you're the first guy out the door when the game is over. I know not everyone enjoys the same social contexts, but that time spent just shooting the **** with your teammates is a big part of what makes a team coherent over the long term.
Speaking again about the same team I mentioned above, that group would mutter a little bit while getting their gear off and disperse immediately... as far as I know, the team no longer exists. There was nothing really holding them together, it was just guys who happened to have been signed on to a particular club. As compared to the team I'm on now, where half the team easily spends 1-2 hours in the room or outside the building, just sitting around talking about life and hockey after everyone's changed. That team has been around for 15 years and barring disaster will probably be around for 15 more, because there's a strong core of relationships at the heart of it. New guys are brought in and befriended, old guys stay in touch and show up at games even after they retire or move on, leadership is handed off in an organized succession whenever needed. That's the difference it makes to just stay back and hang out with your team for a while, even if you're not actually drinking beer (this isn't high school, nobody cares if someone wants to drink water instead).