Carry grendel's severed head back to heorot. beowulf finds that hrunting is useless against grendel's mother. beowulf slays grendel's mother with a giant sword.
Character vs. self I think, but it could be character vs. others.
He thought that he knew a lot about witchcraft so he had more people arrested because he was Christian and thought when one was found the rest needed to be hunted for as well. he started the peak of it if you will