Visible crew/equipment: After Jack jumps out of the plane he comes close to another Flying Elvis, who is being suspended from a visible cable.
Continuity mistake: When Jack finally locates Betsy (in Hawaii) and is calling out to her, Tommy spots him and tackles him to the ground. As the hotel security is pulling them apart one can see visible stains on the knees of Jack's pants (presumably from damp grass). A moment later as Jack is getting in the police car his pants are spotless.
Factual error: When Jack jumps out of the plane as a flying Elvis, he pulls both chutes to open. If both opened as they should have because he pulled both lines, the parachutes would've become twisted and he would've died on impact with the ground.