I believe the answer would be C, its. Its is used to describe something that's connected to an animal or an inanimate object.
I think it's A. It is definally not the climax as this happens when Beowulf kills the monster. It's not the resolution either as it is the first part of the text. Also, exposition seems a little unrelated.
Answer:
He spends a lot of time thinking about the way he looks.
Explanation: