Continuity mistake: When Daniel and Mr. Miyagi are in the Kobra Kai Dojo speaking with the Sensai, in one shot the Sensai points at Daniel, who is standing beside Mr. Miyagi. Then in the following shot, when the Sensai is pointing his finger at Mr. Miyagi, Daniel is now standing behind Mr. Miyagi. (00:49:45)
Continuity mistake: When Johnny is walking away from Ali, the shot cuts to Daniel lying down on the sand, and there are two guys behind him, one with brown hair and a red tie around his head and a blonde guy. In the following shot after the line "Where did you find this guy," the two guys are now shoulder to shoulder with the guy in the yellow shirt. (00:13:35)
Continuity mistake: When Daniel and his mother are in their new apartment, Daniel goes over to the sink to fill up a bowl of water. The two items on the top by the sink appear in the first shot, then disappear in a shot from behind Daniel then reappear again in a shot from the front. (00:06:45)
Continuity mistake: When Daniel is eating in the restaurant with his mother, from the exterior shot looking in the window, Daniel's hand is underneath his chin. But when it cuts to the inside of the restaurant, his hand is suddenly down near the table.
Continuity mistake: When Daniel and Miyagi are in Miyagi's house, Miyagi walks away and comes back with a photo and hands it to Daniel. Daniel is holding the photo in his left hand on the corner, but when it cuts, he is now holding it with his right. (01:25:35)
Continuity mistake: When Miyagi leaves Daniel a note to paint the house, the paint brush is visible in the background on the floor. The position of the paintbrush changes in the following shot when Daniel kicks the sheets off the top of the paint tins. (01:10:20)
Continuity mistake: During the skeleton attack by the locked gate, at the bottom of the gate, there are sandbags that disappear and reappear between scenes. Possibly there to stabilize the gate when Johnny flies into it.
Continuity mistake: After the Halloween fight, none of the Cobras injures the next day match what happened to them the night before. Johnny had a black eye although he was only flipped and chopped in the chest. Tommy had his arm in a sling, but he was kicked twice in the stomach.
Continuity mistake: In the final country club scene when Ali is dancing with her father, she glances at Johnny sitting at the table, as her father asks her about how she and Johnny are doing. Then a second later, Johnny is suddenly behind them on the dance floor with Ali's mother.
Continuity mistake: In the very beginning, when Daniel and his mom start to drive away from their old house in New Jersey, Daniel's bike is strapped to the roof of the station wagon. The bike is positioned with the front tire of the bike facing the back of the vehicle. A couple seconds later, in the very next cut scene, the bike is facing the opposite direction.
Continuity mistake: When Mr. Myagi and Daniel go to the dojo to stop the fighting, the earlier scene revealed that they left the apartment at 10am. Assuming that there was some time to get to the dojo, they left a few minutes later and then drove to Mr. Myagi's house to start the training. Daniel starts to wax the cars and the sky is showing a sunset. At the latest, it may have been around 11am when they got to the house, so there is no way the sun could be setting.
Answer: Daniel's wounds came from fighting the Cobra Kai guys but he tells Miyagi that he was injured falling off of his bike. Miyagi sees through this and sarcastically says that he's lucky his hand wasn't hurt.
Damian Torres
I think he was also subtle letting him know he knew he didn't really fall off his bike because if he had, he would have at the very least scraped his hands...especially if he fell hard enough to cause that much damage to his face.
He was still trying to hide it. However, if you fall, you instinctively put out your hands, and they would be scraped up. Miyagi, older and experienced in life, knew better, but Daniel wasn't going to admit it outright.