I've been DMing a certain group for about a year now. They're decent enough but I've had to learn to handle them as each of them are deficient in some ways. However, recently we got a new player and he, to my eyes, is a stellar example of a player. He doesn't get frustrated when something happens to his character, yet shows concern and cares about him, as well as the NPCs he comes across; he doesn't try to force his character into situations where he doesn't fit, but will take the initiative if called for. Basically, he helps my story work as opposed to make the story work for him.
The problem is because he actually plays correctly, a lot of the time he gets the shaft. His character has lost an arm, had his wish misinterpreted, gotten knocked down to 0 HP many times, and has been scorned by some of the "uber edgelord" other players. I really want some way to reward this guy and in the process teach the other players to try to emulate him a bit, albeit in their own way.
How can I show that one player is acting/playing well, to influence the other players' style of play?
Currently my plan is that the next adventure is going to be a quest revolving around his character. I think this will probably work out pretty well but I'm looking for experience-based solutions.
I would like to clarify that the other players are by no means bad, they just each have issues that I occasionally need to deal with. One of the players gets frustrated when bad stuff happens to his character, two of them are too into their characters being dark and mysterious to the point it hurts group cohesion, and one of the players tends to space out a lot (we play online and I suspect web browsing is involved, I've talked to him a bunch but that's not the issue at hand). However, overall they are great guys, always willing to listen and work with me and they try their darndest, most of the time, to play.
I have already been awarding this character Inspiration, repeatedly, but it seems a bit inadequate. Also since he's such a team player he ends up giving a lot of it out to the other players.