Jeremiah stated he'd been a prisoner of Cadmus for 14 years and Mon-El stated that the DEO had been searching for Jeremiah for over 15 years, but in a previous episode Kara celebrated her 13th year on Earth. This would mean Jeremiah was kidnapped before ever meeting Kara, and flashbacks have proven this is not the case.
When Mon-El holds Kara on the sofa, she is wrapped in a blanket but her shoulder is uncovered. In the next and subsequent shots, the blanket covers her shoulder.
When Jeremiah is hacking into the D.E.O.'s system and transferring files, he attaches the device to the computer monitor. This wouldn't actually do anything considering the monitor just displays the image from the computer. The monitor does not actually contain any data itself. This is a fairly common mistake made in movies and television, along with the act of shooting the monitor to "destroy the computer", which Jeremiah also does shortly after getting the data he needed.
Winn accuses Mon-El of watching too much "24" on Netflix. At the time of airing, "24" is not available on Netflix.