Continuity mistake: When J is drinking his chocolate the glass is next to his mouth in the angled shot from in front, but lowered in the angle from behind.
Continuity mistake: When Obadiah stands on the Chrysler building terrace his hair is either loose or tucked behind his ear.
Continuity mistake: When K and J drive to the bowling alley, the same junction with a shiny blue car and a man wearing an orange shirt is seen three times through J's window.
Continuity mistake: At the bowling alley, after K polishes the alien's head, the way his hair is messed up changes between shots.
Continuity mistake: When K questions J at the headquarters, K grabs his tie. From the immediate angle his hand is lowered.
Visible crew/equipment: As K opens the door to the Cosmic Bowl bowling alley, the camera crew and equipment is reflected in it.
Visible crew/equipment: After J arrives in 1969 and stands on the sidewalk at the Empire State Building, look at the doors behind him. As they close and open, the lighting rigs are reflected.
Continuity mistake: As J flies backwards after the fish creature sneezes, he breaks through the plate glass window, and has the bottles in his hands. After the cut, he's just breaking the glass, and the bottles are missing from his hands.
Chosen answer: The name of the song is "Love is Strange," recorded by Mickey and Sylvia, and released November 1956. Pitbull sampled it in his song "Back in Time."
Chanteuse66