Audio problem: After Steve and Danny are seated in Jerry's car, the sliding door they just entered through is already closed while still making a closing sound.
Continuity mistake: When Kono shoots the bad guy who then falls off the balcony and lands on the hood of a truck, his head is toward the front of the truck. Later when they bring out the female leader of the gang the guy is lying across the hood.
Audio problem: In the final scene Danny executes the man who killed his brother. Danny is armed with a snub nosed revolver. When he pulls the trigger, the sound of a shell casing bouncing on the floor is heard. A revolver does not eject empty shell casings.
Ho'oma'ike - S5-E6
Continuity mistake: Mr. Weiss is in the hospital talking with Chin, Kono and Lou with bandages covering both ears that were supposedly chopped off by Sam Cole During the conversation we see the bandages change to above his right ear showing his ear is fine. Next the shot shows bandages are covering both ears, then the shot switches again with bandages above his right ear, then back to covering both ears. (00:31:22)
Visible crew/equipment: When the gunman tries to flee in the ambulance Jerry rams the truck into the vehicle to prevent his escape, and when Captain Grover pulls the gunman out of the ambulance, we can see the boom pole/mic's reflection moving on the windshield.
Continuity mistake: After the gunmen exit the gallery hiding amongst the hostages, during the gunfire multiple bullet holes are made on the back doors of the ambulance, but all those bullet holes have vanished a few shots later,.
Character mistake: After being asked in class, Max refers to what he does as a "vivisection of a once-living organism", which in itself is a contradiction because vivisections are performed on living organisms. What Max does is called dissection, or more specifically autopsy, because he does it to determine the cause of death.
Revealing mistake: When the gunman are shooting at McGarrett and the barber shop at the beginning of the episode, the head gunman is firing his weapon without his finger even being on a trigger. (00:07:00)