Continuity mistake: When Danny and Steve leave Joey in the shark cage, he looks at them panicked grabbing the side with the ladder, but when they take off, he's clinging to the opposite side of the cage. (00:22:35)
Continuity mistake: At the pizza place, there's a remote in front of the owner when the two detectives arrive. Nobody touches it, but when Scott Caan grabs it, it is in a different spot of the table. (00:20:10)
Continuity mistake: After the opening, Kono check out of the unidentified victim. In close-up his torso is fuly covered, in the wider shot his jacket is open showing bare skin between jacket and wifebeater. (00:04:55)
Continuity mistake: When Danno talks about tennis and is interrupted by his daughter he tells her "You're supposed to be paying attention" with the foam hand at the side of her head, which disappears at the cut. (00:01:40)
Continuity mistake: When "Uncle Chin" introduces himself to Grace, the kid's pigtails move from the front to the back of her shoulder, back and forth between shots. (00:01:05)
Continuity mistake: Danny and Steve are driving from the hotel to the contractor's house. Every time the camera cuts to Scott Caan, Alex O'Loughlin's hand is in the foreground on the same spot at about 1 o' clock of the steering wheel, regardless of what his character is doing. In the second part of the conversation (after the 'fear of death' mention) he even blatantly drives with his left arm, but still we see just a right hand during Caan's close-ups. (00:17:10)
Other mistake: When Steve picks up the call from the Governor, his wristwatch points at about half past 10. The kidnapping, he then says getting to the location, happened one hour before, but during the opening his kid Evan whined that it was 6 am. Also to be noted, Steve in typical movie fashion is expositing the mission during the drive in the outskirts of town, as if he'd just have dragged his partner for miles without saying the first thing about the reason. (00:05:40)
Continuity mistake: Danny shows up with a paper bag at Steve's and when Steve asks about the contents, he says it's those "donut-looking things they sell around the block." He passes the bag of malasadas from the left hand to the right, but it cuts to Alex O'Loughlin and we see in frame Danny's right hand, empty. (00:03:55)
Continuity mistake: Roland Lowry is speaking with his son at the beginning of the episode. When his son whines that daddy is such a dictator, the position of his fingers on the phone changes between shots (fingertip on the back of the phone, fingertip on the side of the phone). (00:00:55)
Continuity mistake: Steve manages to fire 2 to 5 shots through the car's windshield (the windshield is intact before that), but when the car crashes into the container it has no less than 6 bullet holes in it. And when he pulls Sang Min out of the car, from that camera angle the windshield has no bullet holes. (00:35:00)
Other mistake: The human trafficker Sang Min covers his retreat from the warehouse firing wildly with a Micro Galil. In the time it takes for Steve to shout to the others if anybody is hurt, he somehow already ran all the way to his Mercedes deep up the alley and start it up so it can make a nice screeching noise and ram McGarrett. (00:34:50)
Continuity mistake: During the undercover operation, Danny tells Chin to pull the plug on the operation "Let's get her out of there." Steve's hand is on his belt, but it then cuts to a close-up where he has his hand on the radio. Similarly, during a cut to a close-up on Daniel Dae Kim, Scott Caan's arm pops up in view out of nowhere. (00:32:35)
Continuity mistake: The police operation with Kono undercover begins showing a timestamp on the video feed saying that it's "Monday, 21:16:40" (approx). Inside the warehouse though, when the smuggler boss asks her what she does for a living, we're back in time at 21:14:18. From then on, the time changes inconsistently to 21:15:33, 21:16:46 (more than a minute when she is just turning around), 21:16:04 (again wrong order) and as he sends a text to the mole, the reply comes at 9:24, which would mean 5-6 mins have passed. (00:31:30 - 00:34:10)
Continuity mistake: Grace Park comes out of the water and punches a guy; the part of the surf with the red and black logo faces up. Then she picks it up, and, in a way that does not register right consider her motion and the rotation, that side of the board is facing her. Another cut, and the board is facing the opposite direction. (00:28:20)
Continuity mistake: When Danny and Steve are standing dressed like dorks in the parking lot outside Kamekona's joint, behind them on the left there's a guy who is changing bathing suits using a towel to cover himself. When they speak with the pesky kid the guy finishes his deed and leaves, but when Danny reaches inside the car for the big pink fuzzy thing, that guy is back in that spot. (00:26:05)
Chosen answer: They are Junior's SEAL buddies.