Detroit red wings
In the 08/09 season an average of 4.34 goals were scored each game
No, no NHL player has ever scored a goal in every game of the season.
A hat trick
Joe Malone (7)
I am almost 100% sure that it was a womens hockey game , Bulgaria vs. Slovakia. The score was 83-0 for Slovakia.
After a goal is scored, the teams face-off at centre ice.
After a goal is scored, the game is restarted from a centre pass on the halfway line, by a member of the team the goal was scored against.