Factual error: Ruthie gets impaled on a jagged shard of glass from a modern shower door, but shower doors are made of safety glass (since 1977) - when they break they don't leave sharp knife-like shards, only tiny pieces.
Factual error: When Lily is being shot by the arrows, the first arrow just lands nicely in her chest, but when she falls out to the balcony after the second arrow is shot, they have gone all the way through her body.
Answer: Plot hole? Or perhaps Adam's / Jeremy's nose was bleeding because he was about to snap Kate's neck. Or it was because he was so happy.
Alan Keddie
He killed Dorothy at the end that could be why his nose bleeds.