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 #1.3 - S1-E3
Other mistake: Investigating the crime scene, Richard, facing away from Camille, asks what was the victim drinking. Camille is already going for the glass of rum before he asks the question. (00:03:00)
I hope that watching the scene it can be clear. Camille was busy taking some notes, and he is facing away from her. All of a sudden, he says "So, what was she drinking?" and while he is at "So" Camille is literally lunging to her side to go look at the glass. Neither had any possible way to get that kind of timing, and it's not played as a "Hey, we were both thinking the same thing! Jinx!" kind of gag.