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Plot holes
Holmes deduces that a Baskerville scientist in his 60s spent time in America because he refers to his "cell" number, instead of the British term "mobile". Later it's revealed that he worked with the H.O.U.N.D. group in America when he was in his 20s - before mobile/cell phones were invented. He would have started using one when in England, and used that term.
When Holmes and Watson enter Baskerville for the second time, the shot of their car passing through the gate and driving down the road behind it is exactly the same one which was used the first time when they enter Baskerville (watch the cars going the opposite direction of their car).
When Sherlock is looking for his secret supply of cigarettes, he points his harpoon at Mrs Hudson and does his 'detective analysis' on her. After he identifies the perfume she is wearing, he stops pointing his harpoon at her, however when the camera is facing back at her, the tip of the harpoon is seen pointed at her again even though Sherlock is holding it upright.
When John and Sherlock first see Lestrade (inside the bar), he has a beer. In one shot he lifts it to take drink, but the next time you see the beer it is still completely full.
When Sherlock and Watson are back at the pub talking in front of the fire, Sherlock's hands change positions several times between camera angles.
When Sherlock refers to Kirsty Stapleton's luminescent rabbit he says her mother, the doctor, must have spliced its DNA with a fluorescent gene. The proper term for organisms which have a gene which make them glow is bioluminescent.
All visitors to a military installation must be cleared, not just the driver of the car. Watson would also need clearance, not just Holmes.
Sherlock finds a photo of Major Barrymore's father and says he's wearing the Distinguished Service Order. The ribbon is not that of the DSO.
When Sherlock and John arrive on Dartmoor, the sun rises up and to the left. Since the scene was actually shot in Dartmoor, and not in the southern hemisphere, this footage must be of a sunset played in reverse.
It is not possible that the military facility had a minefield that included anti-personnel mines or that Dr. Frankland was killed by a mine because there are absolutely no anti-personnel landmines in the United Kingdom.
Diana, Princess of Wales, famously encouraged countries to join the Ottawa Treaty, which bans the use of anti-personnel landmines and requires the signatories to demine all land under their control. The United Kingdom signed the treaty on 3 December 1997, the treaty came into effect on 1 March 1999, and most importantly, the United Kingdom reported that prior to 30 May 2008, the only territory under the control of the United Kingdom that had anti-personnel landmines was the Falkland Islands.
Diana, Princess of Wales, famously encouraged countries to join the Ottawa Treaty, which bans the use of anti-personnel landmines and requires the signatories to demine all land under their control. The United Kingdom signed the treaty on 3 December 1997, the treaty came into effect on 1 March 1999, and most importantly, the United Kingdom reported that prior to 30 May 2008, the only territory under the control of the United Kingdom that had anti-personnel landmines was the Falkland Islands.
Right after Watson says "Did you see it? You must have," at the lab, the camera tilts up and the studio where the lab was built becomes visible above the lab's "ceiling."
About 90 minutes in, when John Watson is in the lab and the lights and siren have just been turned off, you can see the cameraman dimly reflected behind John's reflection in the metallic elevator door behind him.
It is inconceivable that a top secret scientist, working on a top secret project for a top secret organisation in a top secret location, would print T-shirts to advertise the fact, let alone wear them whilst out committing mischief.
Holmes deduces that a Baskerville scientist in his 60s spent time in America because he refers to his "cell" number, instead of the British term "mobile". Later it's revealed that he worked with the H.O.U.N.D. group in America when he was in his 20s - before mobile/cell phones were invented. He would have started using one when in England, and used that term.
Dr Watson should not have returned Corporal Lyons' salute. As a Captain in the British Army he would know that you never salute or return a salute when not in uniform. British and Commonwealth service personnel would just salute. They do not need to hold a salute while waiting for return salute as is the case with US personnel.