Six Paintings, One Frame - S1-E4
Character mistake: The art expert says that lapis is a rare gemstone and was used in painting only up to the Victorian Era, after which became too expensive. That's quite misleading; it's not that lapis became more rare or expensive, it's just that adequate artificial substitutes became available.
Six Paintings, One Frame - S1-E4
Continuity mistake: Higgins does Magnum's tie when his collar is unbuttoned, but when she's done with the knot all of a sudden the button is fastened as well. (00:40:25)
Six Paintings, One Frame - S1-E4
Continuity mistake: Magnum has just been released from the police station, and him and Higgy are walking down the stairs as she explains to him the superglue trick. A man suddenly appears on the stairs during a cut. (00:30:25)
Six Paintings, One Frame - S1-E4
Other mistake: Speaking with Chen, Higgins tells him that she had Robin Master's IT experts "scrub every byte" of the computer Magnum used to upload the report, and there was no security breach on their end. Considering that she is with Magnum when they visit the crime scene that the police is still processing, it'd mean that the experts 'scrubbed' the computer doing a complete forensics analysis in an hour or so - assuming they did it on remote too, since obviously Robin Masters' team is not in Hawaii. (00:13:00)
Six Paintings, One Frame - S1-E4
Continuity mistake: When Tracy passes her calling card to Magnum, the hair over her right shoulder is gone at the cut. (00:07:05)
Six Paintings, One Frame - S1-E4
Continuity mistake: Higgins' glass of shandy goes from one hand to the other repeatedly between shots. (00:07:40)