Crossword puzzle clue "appears unexpectedly and a hint to this puzzle's circles"

Appears unexpectedly, and a hint to this puzzle's circles

Mark that appears four times in this puzzle (hint: the baseball player who's the answer to this puzzle uses one, too)

Web irritants ... and what appears in each set of puzzle circles?

Appears ... and the contents of this puzzle's circles?

1980 sci-fi thriller, and a hint to this puzzle's circles

Dine together, and a hint to this puzzle's circles

Birthday party staple, and a hint to this puzzle's circles

Manhattan landmark, and a hint to this puzzle's circles