Blood thinning drugs (anti-coagulants) are not used for preparing people for surgery. Stroke during surgery would be uncommon as there is not usually time for blood to clot at the surgery site and then travel to the brain; a stroke following surgery is more common and this is why anti-coagulants may be used following surgery.
Luke hands Carine a presumably-full cup of coffee, but she tilts it to a 90 degree angle, which would flood her mouth with coffee if it was full.
The coffee cup is analyzed for drugs, however no comment was made about any fingerprints. The hit man had handled it without gloves.
Hitting a laptop computer with a hammer will not destroy the hard drive that contains files.
At approx. 21.10 Ellie says she's been trying to find anagrams in the letters FROEBE. She says she's been working with five letters, but than realizing it was six as the B represents a German double S. She should have said she thought it was six letters, but now she knew it to be seven.