When Danny & King are at the abduction site, there is a shot of them talking and King's tie is blowing far over his shoulder. In the next shot, it is perfectly placed back where it should be. The time frame between both shots is so short that there is no way King could have fixed his tie.
When Danny finds the van, he breaks one of the rear windows to get in. When his partner opens the doors, both windows are broken, and then only one is broken again when they close the doors.
At the initial kidnapping scene, Danny speaks to a uniformed patrol sergeant. The sergeant's hat alternately is properly centered, then noticeably crooked, rotated where the center is over his left eye.
The unmarked Impala used by Danny and his partner changes from medium blue to dark blue and back several times.
The white kitchen cabinets don't match the rest of the series. From the second episode on, the cabinets are a dark wood finish.
Insulin shock is a colloquial term for low blood glucose level and is very dangerous but it will not be caused by missing an insulin injection. Insulin shock can occur if you get too much insulin in relation to how much carbs you eat.
The girl that was abducted was said to have diabetes type 1 and in need of insulin shots ONCE every 24 hours. This is a very unlikely treatment today, it was used in the early 1970s before research showed that more frequent injections of insulin in smaller doses dramatically improves the balancing of blood glucose levels.
The police commissioner is not a uniformed a member of the Police Department he's a civilian appointed by the mayor.
The patches on the police officer's clothing are incorrect, as they read "NEW YORK" instead of "CITY OF NEW YORK".
When Danny put the bloke's head in the toilet bowl he would have had to flush the toilet to cover the man's head with water. The only way Danny would have been able to put the man's head in a bowl full of water is to plug up the toilet bowl first.
A couple of times Frank's character is called Chief by officers, to include Danny. His title is Commissioner, the Chiefs serve under him.