Concerning the age difference between the doctor and the father's daughter
It's addressed in the film itself when they are about to engage in sex:
"Are you old enough?"
"I'm older than I look."
So to all those who say that Atkins is old enough to be the daughter's father (they're totally unrelated) is not so ick after all. Besides, it's only the two of them, and they're in a very strange town.