At one point Dwayne, who supposed to know Russians, put jam in a Russians tea. Someone had obviously told them that Russians have jam with tea. Which they do, but not IN tea but on the tongue and the tea goes over the jam.
When Pride, Bishop, Brody and Percy are discussing the Manta Ray, the schematics they are viewing are actually a combined semi-accurate referral from 2 of the US Navy's Independence-Class Littoral Combat Ships. Coincidentally all 4 LCS Class Ships were in-fact cost overrun by tens to hundreds of millions and decommissioned.
The Russian had a radio transmitter in his tooth. The technician tracked the radio signal to the Russian woman. That is impossible, since unlike radio transmitters radio receivers cannot be tracked since they do not emit a radio signal.