Continuity mistake: The ninja with the tattoo that attacks Jack is a large built man with olive skin. When Jack sees the tattoo on Kai's teammate, he is now a slight built, Caucasian teenager.
Continuity mistake: The kids fall to the ground after they are eliminated from the game but when Jerry takes out a knight and the wizard along the path, only the knight is seen lying down in the subsequent shots; the wizard is nowhere to be seen.
Answer: Because he was friends with Kim but he went to the same dojo as the other kids that's how he knows both Kim and the other kids.
No, it never said that. Maybe I'm mistaken, but she wasn't cool with anyone from Bobby Wasabi at the alleged time. So if she did know Carson it wasn't like they were friends, more like enemies if they did know each other.