American Airlines said in a statement that a "technology issue briefly impacted connectivity" for some systems.
While the FAA continues to limit flights, the number of takeoffs and landings is going up by four per hour to 72, still well below the more than 80 the airport saw before the current caps were put in place.
Neither of the other major US airlines that historically offered flights to Israel, Delta and American Airlines, have resumed service yet.
Video taken by a passenger shows the flight crew spraying insect repellent as the mosquitoes buzzed around the cabin.
The FAA is slowing traffic in and out of LaGuardia and Newark airports in New York due to the smoky conditions.
Biden himself offered no explanation -- or reassurance -- to the public.