Danny Kamekona was from Hawaii, where the movie was filmed.
Dawson Casting: Ralph Macchio was 21 when the first film was made, playing a 17 year old. He was 26 playing an 18 year old in the third film. Not many people noticed thanks to Macchio's boyish good looks and high-pitched voice,note although Macchio himself was very uncomfortable being romantically paired with the 16-year-old Robyn Lively in the third movie making this one of the few effective examples of the trope. Avoided in the reboot, as the kids are actual kids. Poked fun at in a 90's commercial for Brisk Iced Tea.
"Daniel-San": Kid? I'm 35.
Executive Meddling: Thankfully avoided in the original film, the studio demanded that the quiet scene in which Daniel discovers a drunken Miyagi mourning his lost wife and child, who died in a relocation camp while he was away being a war hero in Italy during World War II, be cut because it "disrupted the flow of the movie". The director apparently went to war to keep it in the film. Pat Morita would later say that it was this scene that earned him an Academy Award nomination for his portrayal of Mr. Miyagi. (Ralph Macchio disagrees, citing his presence in the entire film as the reason.)
Also, Dre was just relaxin all cool and shooting some basketball outside of school and is then interrupted by bullies. Remind you of anyone?
Backed by Beijing: The remake has gratuitous shots of notable landmarks in China which have probably needed to be directly authorized by some high Chinese officials. In return, China is depicted as a really nice land, mix of ancient civilization, modernity, and natural beauty. Not to forget a puppet play.