I'll try to keep it to 1 per team to make things interesting.

Hands - Flash Gordon 
 
Flash leads the league in assists, despite a passer rating of 60. How is this dude even operating? Obviously flash has sold his soul to the devil.

Heart- Al Kayhall 

It's Al Kayhall.

Grit - Andrei Kostitsyn

Andrei is third in hits this season as a rookie. Lespineau-Lebrunette is in first, but with an absurd checking level of 90. Andrei only at 70. That means Andrei can nearly keep pace without even trying. Can you imagine Andrei with 90 checking? Would they have to end the season early due to injury?

Shot - Kaarlo Kekkonen 

With 153 shots this dude is just chucking em at the net. He's second in goals so it obviously works. My ideal character would just spam pucks at the net until the opposing goalie dies.

Endurance - Luciano Vessot 

Most minutes played at 741. He's taken 41 hits in that time as well. Dude is a machine.