When on the deer hunt, in a shot from above Jack is shown putting the index finger of his left hand to his mouth to signal his wealthy customer to be silent, but in the next shot it's his right index finger.
When hunting, besides making enough noise to scare off deer for miles around, Jack spots a deer and later calls it a buck. There's no sign of antlers on the deer, and we're unable to see the genitalia. Whether it's a young buck or a doe is anyone's guess. With that much snow, were it a buck, we'd spot antlers.
Filmed in Quebec, in January and February 1997, the movie, which happens in a New Hampshire town, opens on Halloween day, late October. There is never that much snow on the ground, if at all, late October, in New Hampshire (or Quebec for that matter).