I find the game to be fast-paced and exciting, and the skill level to be extremely high. I hope you're enjoying it.
The other rule you might consider learning is the icing rule. Icing is designed to stop people in the defensive zone from just shooting the puck to the other side of the rink constantly. If a team dumps the puck into the offensive zone from behind the centre line and it crosses into the "back", behind the red line near the far side of the rink without touching any players. The defending player must make an honest effort to reach the puck. When the defender touches it, the play is blown dead and taken to the offensive team's zone.
If the offensive player touches the puck, however (chasing it in and "beating the defenseman"), this keeps the play alive, often giving the attacking team an advantage.