Corrected entry: A Boeing 747 is about to (potentially) crash land (at the end of the film). As many emergency vehicles as possible would be on standby, yet all that's present is one ambulance, waiting to rush a child to hospital for a kidney transplant.
Corrected entry: The scene in which the small aircraft hits the Boeing 747 in flight plumbs new depths in cinematic absurdity. Assuming both aircraft are at their normal cruising speeds - they appear to be - and the smaller craft has half a fuel load left, it will hit with the same energy as 17000lbs of TNT. Even a glancing blow would tear the entire front half of the 747 to bits - there would be virtually nothing of the fuselage left intact all the way back to the wings.
Corrected entry: Shortly after the plane has landed you notice two oddities: the fire services leave more or less immediately after landing and another plane is taxiing to leave the airport. A major emergency of this nature would probably see the airport closed for a while.