Flights restarted at New York’s John F. Kennedy International Airport on Monday after police determined reports of gunshots at the airport had been baseless. American Airlines restarted operations at its hub shortly after police gave the all-clear at 12:15 a.m., an airline spokesman said by phone. Seven of the carrier’s flights into JFK were diverted, with one plane from Miami redirected to its starting destination while others landed at airports including Chicago and Boston. Deutsche Lufthansa AG canceled a flight to Frankfurt. All affected terminals at the New York airport were evacuated and searched after reports of gunfire spread panic Sunday evening. The search yielded “negative results,” and “no shots were fired,” the New York Police Department said. Authorities received reports of gunshots at Terminal 8 at about 9:30 p.m., while similar reports prompted the closing of Terminal 1 at about 10:15 p.m., according to an e-mailed statement from the Port Authority of New York and New Jersey. “At this time, no firearm, rounds or shell casings or other evidence of shots fired has been found,” the Port Authority said in its statement. “The terminal was evacuated out of an abundance of caution.” The diverted American flights, excluding one redirected to Newark Airport in New Jersey, are scheduled to take place later today.