The combination that Artie dials into the door doesn't match the one that appears on the display.
Upon opening the file room, Artie says the files of Warehouse agents for the last 200 years are in there somewhere. However in the pilot he told Pete and Myka that the first iteration of Warehouse 13 was established in 1898, which means the files can only go back up to 111 years, and likely less since the first Warehouse burned down.
Artie asks for pictures of the body while it gets sent to the Warehouse, then gets upset when Myka sends him pictures of the body.
In the exterior shot of the "St. Louis" police station, when Myka is going into the building, we pan across a view of the skyline in the background, in which the CN Tower in Toronto is clearly visible in the left background. St. Louis has no similar building.
Claudia said that electricity didn't exist when the artifact was built (in the 11th century), which is erroneous because it existed in the form of lightning and static electricity. It merely wasn't utilized the way it is today.