Factual error: The game was supposed to be taking place at the Minnesota North Stars' arena. But the Red Wings were wearing home uniforms, which they only wore at the Joe Louis Arena.
Suggested correction: The uniforms are correct. In the NHL, the home team traditionally wears dark uniforms and the visiting team traditionally wears white uniforms. Here, the Red Wings are wearing white uniforms, indicating that they are the visiting team.
From 1970-2003, NHL home teams wore their white jerseys, so the uniforms would be wrong. It wasn't until the 2003-2004 season did home teams start wearing their dark uniforms. The scene was shot at the Met Center, but it doesn't seem to be a real home game since during the 1992-1993 season, the North Stars were never ahead of the Red Wings 4-2 at home (but they did win 4-2 in Dec '92 in Detroit). North Stars did have a 4-2 lead at home in game 3 of the 1992 Playoffs, but were in white.
The film's Met Center scene was shot during an actual game in Minnesota in April 1992, which was the 1991-92 season. The North Stars did indeed wear their "road" black jerseys for select home games that 25th Anniversary season. I know this as I was employed by the team at that time.