Yes, Loislane, Kirk Douglas is the actor and you got all but one.

I can't think of another in which he was a producer. I loved the "Bad and the Beautiful". I thought the cast of supporting players was excellent.
Kirk Douglas was a sleazy, cynical, self-serving reporter in Billy Wilder's "Ace in the Hole", aka "The Big Carnival". In order to get a story, he lets a young man trapped in an ancient Indian Ruin (hole) die. A rather daring movie for the fifties.
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