Things You Can't Outrun - S1-E3
Other mistake: When Cisco and Cailtin call Barry to tell him about the man with the gun, Cailtin says he has a gun. Cut to the cops pursuing him, the perp shoots at the cops, and one of them seems surprised that he has a gun. There's no way Caitlin could have known about the gun without the cop knowing (which would presumably have been relayed over police communications).
In the Name of the Rebellion: Part 2 - S4-E4
Other mistake: When Saw contacts his lieutenant Edrio for a pickup after wiring the giant kyber crystal to the hyperdrive, he tells him to dock at the hatch by the starboard engines. Later, when Edrio does arrive, he docks at a hatch on the left, or port, side of the ship. Starboard refers to the right side of a ship.