Episode #2.1 - S2-E1
Continuity mistake: In the prologue, Roger Seymour is snogging his attractive young lover. She has her fan in her left hand when he says "I won't be long", but the fan is gone (and in her right hand) in the next shot. (00:00:40)
Episode #2.7 - S2-E7
Revealing mistake: When we see the killer deal the fatal strike, the pipe misses a mile to the left. (00:48:00)
Episode #2.2 - S2-E2
Character mistake: Dwayne takes only the thumbprint of Sister Marguerite before she leaves. (00:12:50)
Episode #2.5 - S2-E5
Continuity mistake: In the beginning the man who takes care of food and drinks hurt his fingers. Only in the last scene we see that he has bandages around the hurt fingers for the first time.
Suggested correction: I thought the same but actually he wears the correct bandage in the scenes after the murder, all the time. The tape is hard to spot because of the color and is not in frame a lot, but in the scene when he is back on the boat "for the knives" you can spot the tape at minute 21, when he says "Except for the cocktails she was drinking", and in the crab scene he is also sporting the bandage.
Episode #2.1 - S2-E1
Other mistake: Dwayne is a veteran police officer who's somehow never ever heard of Luminol (misspelled in close captions, incidentally). (00:14:30)
Episode #2.7 - S2-E7
Other mistake: The show, shot in Guadeloupe, part of France, is set in the fictional island of Saint Marie, British overseas territory, with English as official language. When we see the development company sign a big cheque to the local university, it is to the order of University of Guadeloupe (also non-existent, since the university in Guadeloupe would have been in 2012 the University of the French West Indies and Guiana). Incidentally, the document that supposedly incriminating picture (taken at an amazingly public event including giant cardboard fake cheque) is from, is a form about real estate in Nevada. (00:20:50)
Episode #2.5 - S2-E5
Continuity mistake: Fidel and Dwayne are enlisting the help of the stoner guy (who just happens to be there where they need him in a gigantic coincidence!). When he asks them if then he can be a policeman, Dwayne sends him off; his arm is above/at level with his shoulder but at the cut it is not in frame. (00:33:25)
Episode #2.2 - S2-E2
Other mistake: Sister Marguerite throughout the whole episode is wearing not very nun-like quantities of lipstick and mascara - especially considering that the head nun is depicted as strict and frowning upon things like chewing-gum.