When Kara confronts Lex about the Traveler, they're in front of the fire inside the Luthor mansion. The star-shaped design is still in place above the fireplace even though in the previous episode Lex destroyed it to get the crystal.
At the end of the 7th Season Finale when Lex and Clark are at the Fortress, it is dark. However, in May, on the North Pole, it would be light all day long.
On the plane, Edward Teague has an Argentinian passport. The birth day reads "16th JULIO 1952". The day should be only "16", since "16th" is short for "sixteenth" in English. Also, where it reads "SOLO" it should be "SOLTERO" (single).