I don't blame Skinner on any goal except #4. Could he have made the big save like Talbot did on Drai at the end of the 2nd? Sure, that would have been great. He didn't really make a big save all game truthfully. However, all the goals were good shots or a flubbed breakaway that is difficult to stop. But #4 was a travesty of a goal. It's a goal that pee-wee tenders top 80% of the time. It was simply atrocious. In the playoffs, or really any tight game, you are generally going to lose the game if your tender lets one in like that.
Skinner needs to be a lot better, full stop.
There are other problems with the team in game 2, especially coverage in own zone and breakout passes. But if you don't have tending, you don't have anything.