When Josey fills her truck with gas near the start of the film, the sign behind her shows a price of $1.71 per gallon. In winter 1989, US gas prices were $.90-$1 per gallon. According to the US Department of Energy, Minnesota gas prices did not reach that level until April 2001, and not again until April 2004.
When Bill White is at the bar the first time, from one angle he appears to be drinking Leineinkugel's Honey Weiss beer. When they change angles, he is drinking some other brand. When they go back to the first angle, he's again drinking Leineinkugel's.
When Bill White is sitting at the bar, contemplating whether to talk to Josie, the second button on his right sleeve is unbuttoned. When he gets up to go talk to her, he lifts his right arm, and his shirt sleeve is fully buttoned.
Lois Jenson, the woman Josie Aimes is based on, started working in the mines in 1975, but the film is set in the late 1980s. Josie's son's heavy metal t-shirts (Iron Maiden, Guns N' Roses) are accurate to the time period in the film, not the real life story.
The indoor hockey scene was shot at the arena in Eveleth, MN, where the average temperature doesn't get far above 10 degrees Fahrenheit during hockey season. No one's breath is visible in the outdoor scenes, and the little girl holding onto the chain-link fence wouldn't do that without gloves.