Factual error: The couple couldn't have debuted at Nationals. They would have needed to have placed at Regionals in order to compete. You must be qualified from competitions that year. Even if you were National Champion in previous years, it doesn't ensure participation. And even if Kate had qualified with another partner, that doesn't count - it is the complete pair who must qualify.
Factual error: In the scene at the end where they do the Pamchenko in competition it appears to be an impossible move. He was spinning in circles, in one place, when he released and threw her, but in order to catch her, moving away from him, he would have had to have superhuman acceleration.
Continuity mistake: In the first training montage, Kate changes clothing for a split second. Initially she is wearing a red outfit with black legwarmers. She changes to green lycra pants and black legwarmers, then back to the red dress and black legwarmers. You can also see Douglas' grey hoodie is swapped for a red top.
Factual error: The shot of the stadium outside concourse and parking lot on the second day of nationals would be assumed to be the United Center in Chicago home of Blackhawks. A closer look reveals the stadium is the outside concourse and parking lot of Comiskey Park home of the Chicago White Sox, which is an all outside venue particularly used for baseball games, and can not hold any indoor competition.