The Air Force said on Monday that it failed to record the Texas church shooter’s domestic violence conviction in a federal database that would have kept him from buying a gun. That glaring oversight allowed Devin Patrick Kelley, 26, to pass multiple background checks and legally purchase firearms. The stunning admission from the Air Force raises critical questions about coordination between the military and the federal background check system that is designed to keep guns from those who have lost the right to purchase them. Kelley was convicted in 2012 of fracturing the skull of an infant.