Character mistake: When Fred, Ethel, and Ricky confront Lucy on what she wrote about them in her novel Ricky states "I'm so hammy I should go lie down between two slices of rye bread." This is incorrect. Lucy wrote "He turned into such a big ham you could stuff him with cloves."
Continuity mistake: The Mertz' check out of the hotel and are in the garage on a motorcycle. Later they are back in their hotel room with Fred napping in a chair with a hurt shoulder.
Suggested correction: Ethel and Fred checked out of room 317, intending to leave. Later, after their motorcycle crashed, Ethel and Fred checked back in and were given room 372 (time codes 00:09:05 and 00:12:15), so Fred (with his hurt shoulder) is napping in the chair in his and Ethel's new room. There's no continuity mistake.