There's a saying among hockey players and fans that if a team can make the playoffs, anything is possible. However, at this time, the Penguins aren't even in a playoff spot. They're having a bad season and it is my humble opinion that even if they make the playoffs they are highly unlikely to advance very far!!
No one has the cup. I'm pretty sure that after the summer and everyone has had their turn with it, it goes back to the place that it's stored until the Stanley Cup Finals, then it attends games 5-7.
Marian Hossa (now of the Chicago Blackhawks), played in the 2008 Stanley Cup Finals for Pittsburgh (and lost), played in the 2009 Stanley Cup Finals for Detroit (and lost), and played in the 2010 Stanley Cup Finals for Chicago (and won).
4
They have been to the Stanley Cup finals 4 times and countless playoffs.
The Boston Bruins won the 2011 Stanley Cup.
Maxim Talbot of the Pittsburgh Penguins.
Detroit Red Wings and Pittsburgh Penguins. Detroit won.
The 1994 Stanly Cup Finals featured the Vancouver Canucks vs. the New York Rangers. The Stanley Cup was eventually won by the Rangers.
The Pittsburgh Penguins defeated the Detroit Redwings to win the 2009 Stanley Cup. The winning team was decided in game 7 of the Stanley Cup Finals, when Pittsburgh beat Detroit by a score of 2-1. Maxime Talbot scored the winning goal.
The Tampa Bay Lightning won Game 4 of the Stanley Cup Finals.
No one. The Stanley Cup was not invented yet.
I'm not sure if this one is the biggest scoring differential or not, but in the 1991 Stanley Cup Final game 6 the Pittsburgh Penguins beat the Minnesota North Stars 8-0 to clinch the Stanley Cup. That is the biggest that I recall