No, in both scenarios, there is no out. The only way the runner in sitch 1 can be out after crossing home plate is on a valid appeal. Since she did not actually miss any base, there is no valid appeal to be made. Her subsequent actions have no effect on this play.
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"Many baseball fans look upon an umpire as a sort of necessary evil to the luxury of baseball, like the odor that follows an automobile." - Hall of Fame Pitcher Christy Mathewson
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