Plot hole: The whole plan for the murderer to create a perfect alibi hinges on an incredibly precise timing of the victim's action and bodily reaction to the poison, both out of his control. The Governor needed to shake a lot of hands and deliver a speech without yet dropping dead, and everyone needed to ignore entirely the signs that she was feeling unwell. In fact, she needed to collapse as she was drinking, dropping the glass and doing it somewhere where he could squirt some more of that poison in the glass. He couldn't predict the whole situation with the glasses and the Commissioner that would create the alibi (he leaves the party when refreshments are just being served), but for this unpredictable chance to get an alibi he took the huge risk to carry the whole bottle of poison with him, which the plot never explains why was never found by the police or disposed of.

Death in Paradise (2011)
1 plot hole in One for the Road - chronological order

Continuity mistake: When Aunt Mary is writing on the whiteboard at the hospital, the word "killed" changes style between shots. (00:31:40)
DI Humphrey Goodman: If I am gonna woo the ladies with my culinary skills, I think I need to invest in a cookery book.
DS Florence Cassell: I don't know. Maybe turning on the oven would be a good start.
DI Humphrey Goodman: Yes. The devil is in the detail. (00:24:50)
Trivia: A bit of the episode has been cut for the streaming releases; at the end of the scene with Humphrey taking Martha's luggage, he would make a date with her for the next day, to cook dinner for her at 8. This has been eliminated probably because it created timing issues with 8 PM being too well lit (in contrast with the supposed timing of the murder) and the ending takes place at Catherine's for a cute drinking scene anyway. (00:22:50)
Question: Why did the cord on the wall phone in the police station change from straight in the early episodes to coiled later?
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Answer: There's probably no particular reason. Sets and props on long-running TV shows often change as needed and for various reasons throughout a series run.
raywest ★