Plot hole: When Nameless and Flying Snow are fending off the arrows, the arrows blocked by the two seem to be the only arrows coming toward the school, as there are no arrows flying beyond their reach (omitting the ones missing the school entirely).
Plot hole: How can they have gotten confirmation to launch the missile from Moscow if the insulation on their transmitter was damaged? If it was a separate transmitter, why not use it in some way to contact Moscow during their crisis?