Sir Keir Starmer says protections for British bases and personnel have been stepped up to their highest level.
BA, Virgin Atlantic and Wizz Air are among major airlines to overhaul their schedules in light of the attacks.
Despite huge political differences, the Green and Reform leaders have much in common, writes Laura Kuenssberg.
Police say they were called to Dunkeswell Aerodrome at about 13:00 GMT on Saturday.
Caspar San Giorgio, 38, appeared at Westminster Magistrate's Court via video-link earlier.