A really good intro should include the main topic, points you are going to talk about, a thesis statement, a hook, and maybe a rhetorical question. Just make sure you stay on topic.
The word "dream" emphasises the longing which the persona holds that is not quite tangible - the repetition implies this "dream" is reoccurring, showing that the persona's longing is all the more strong.
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.