In Kara's first fight against the Red Tornado she freezes then breaks off the android's left arm. He immediately flies off, but his right arm is shown lying on the ground at Supergirl's feet.
Later, when Alex takes the arm to Maxwell Lord for his help in finding Red Tornado, it is again the right arm when it should be the left.
When Lucy Lane appears in her Army dress blue uniform, she is wearing an enlisted soldier's cap device. The officer's cap device is the same for men and women, so it would have matched General Lane's.