Magnum is eating popcorn from a box. In the 1930s it was served in paper bags.
The woman says she is suffering from a sixteen hour jet lag, however there is only an eleven hour time difference between London and Hawaii, so it is impossible to have sixteen hour jet lag.
Magnum tells Higgins that the game requires excellent peripheral vision, but the game is a small hand held console which one looks directly at. There is no peripheral vision involved because there is nothing off to the side to look at.