When Doc Martin is burning his wife's photo in his Inn room, his cigarette is just lit. Then the photo he burns is shown burning out of control to MORE than half-burned from the back side. After he throws it in the trash bin and puts it out a couple seconds later, the photo is LESS than half burned and his cigarette shows ashes hanging off burnt half-way down as if a number of minutes had passed.
When Dr. Martin Bamford is in the taxi being driven to Port Isaac it runs out of fuel. The taxi driver says he meant to get petrol but later he is in trouble for using red diesel.
At about 35 minutes in, the shot of the boat is reversed.