The East Hampton Town Board voted on Thursday to postpone the planned temporary closure of East Hampton Airport to May 17. The planned reopening date is now May 19.

“Cellphone, cellphone, wallet, cellphone, car keys, wallet, wallet. . . . Underwater scooter.” So began a visit last week to the Sag Harbor Village Police Department’s property room, where everything that people turn in as “found property,” or that officers happen to find while on patrol, awaits reunion with its owner.

Much may depend, however, on an assessment of the condition of the site’s four structures, commissioned by the town and to be issued this week. Its author, the consulting engineer Drew Bennett, has said that “there are some things of concern” in his report.

The struggle over the future of East Hampton Airport intensified on Tuesday with the filing of lawsuits seeking to prevent the town from carrying out its plan to close the airport on Feb. 28 and reopen a new, private-use airport on the site on March 4 with a prior-permission-required framework, under which advance clearance is required before a pilot may use the airport.