Edward IV and Elizabeth Woodville were said to be married in May. When Anthony confronts Elizabeth after seeing Edward leave her shortly after they married fall leaves can be seen on the ground since the show was filmed in fall and winter.
When the Rivers family is wearing white roses to honor Edward IV, they are wearing hybrid tea roses. These would not be bred for another 400 years.
Elizabeth's dress has a zipper in the back. Zippers were not invented until the 19th century, and were not commonly used until after WWI.
Elizabeth Grey married King Edward in 1464 and was shown shortly afterwards riding a horse on a two-pommeled sidesaddle which was not invented until the mid 16th century.
When Edward meets Elizabeth by the tree, a collared dove can clearly be heard. This bird spread throughout Europe, including Britain, only in the last half of the 20th century.