Despite his misgivings, Wojo agrees to fly because the ticket had his name on it. Back then, you did not need identification to board a plane. Security did not ask for id and neither did the airline staff at the gate.
As a marine corps veteran of the Vietnam War, Wojo would have undoubtedly flown across the Pacific at least twice.
When Barney tells Yemana to get coffee for the O.D. victim, the shadow of the boom mic can be seen on Barney's office door.