Factual error: The lady who was killed had been using a shredder "for over ten minutes straight" the night she was killed, according to the handyman. Nothing was apparently missing, though. The next day it turned out that what she received was an employment contract. No matter how many pages the contract was, it does not take ten minutes to shred.
Factual error: Higgins finds a bloodstained bag in the dumpster. The stain is bright red. The blood belongs to a person who was killed late the previous night, around midnight. After being in the hot sun for many hours the blood would have oxidized and be closer to a brown color, not bright red.
Dead Ringer - S5-E6
Continuity mistake: Magnum goes to Jack Hill's house to investigate a murder. The home has a smart lock, so he breaks in through a window. Later, Det. Chris Childs goes to the same house. This time the front is different and there is a keyhole and a pushbutton for the doorbell.
Dark Skies - S5-E8
Character mistake: Higgins and TC are investigating a drug smuggler camp in Maui. TC sees a box of cigarettes and says the people in the camp must be Latino because the cigarette box is in Spanish. Wrong. The box says Cigarillos, which are small, short cigars. If the box was in Spanish it would say Cigarrillos, which is cigarettes in Spanish.