There is snow piled up along the buildings but not a bit on the gravel roads of a town in Canada in around 1913 or so. No snow plows, and even if there was, it wouldn't leave perfectly placed snow piles cleared from gravel street.
Erin Krakow/Elizabeth is obviously wearing a wig. There is no scalp in her part and the hair is much thicker than her regular hair is.
Jack gives Elizabeth a pair of wedding rings supposedly from his grandparents, but wedding rings for men only became popular in world war II.
The candy canes Carson delivers to Mrs. Lawson are wrapped in plastic, which wasn't available at that time.