The Kipper and the Corpse (a.k.a. Death) - S2-E4
Plot hole: When the Doctor is examining Mr. Leeman's body and asking questions about who found him, Sybil remarks that Basil was talking to him about car strikes. She couldn't have known that because she wasn't in the room at the time, and Basil never actually tells her.
Suggested correction: It is most likely she was nearby on the landing doing some work, and she subsequently overheard Basil's conversation.
Communication Problems (a.k.a. Theft) - S2-E1
Plot hole: Basil torments Mrs. Richards by miming when he is speaking to her, so she will think her hearing aid has failed. However, she speaks twice during the scene, and she would hear herself - obviously - and would know that he was trying to fool her.
Plot hole: Sybil leaves the hotel at 05:29 and returns with Audrey at 24:39. 19 minutes have elapsed in real time during which Basil has been 'entertaining' Sybil's friends. So Sybil had just enough time to visit Audrey, talk to her and return. There wasn't enough time to visit the homes of Alice, Kitty or Virginia. Sybil went straight to Audrey who must therefore be her closest friend. Also Audrey was free and knew nothing about the party. Would not Basil have invited Audrey to the party? Is not Audrey's presence just to allow Sybil to explain to the audience when it makes no sense she is not at the party? (00:05:30 - 00:24:40)
Suggested correction: In 'The Wedding Party' the Major comments about Basil not liking Audrey, so maybe he didn't invite her. Or maybe she was in the uncomfortable position of keeping the secret for Basil despite seeing how upset Sybil was.
