"Our errand/ Is a great one, our business with the glorious king/ Of the Danes no secret: there's nothing dark/ Or hidden in our coming."
"That this one favor you should not refuse me - That I, alone and with the help of my men,/ May purge all evil from this hall."
"I am old, now,/ But I will fight again, seek fame still,/ If the dragon hiding in his tower dares/ To face me."
Beowulf is arriving at the land of the Danes, and when approached by the soldier on the cliff and threatened, he replies with this quote. Beowulf is here for one reason, and he knows that it is no secret. He is more than ready to speak with the king.
"I can leave/ This life happy; I can die, here/ Knowing the Lord of all life has never/ Watched me wash my sword in blood/ Born of my own family."
Beowulf meets Hrothgar and asks him to allow him and his men to fight Grendel. He knows that Grendel "needs no weapons and fears none", and Beowulf isn't planning on using weapons either.
Here, Beowulf, now the King of the Geats, is saying his final farewell to all of his followers and people while showing great courage. He is about to go fight the dragon, and he knows that if he is going to stay and fight instead of running away, he must use a sword to fight this monster.
After Beowulf is fatally injured in his battle with the dragon, he explains to Wiglaf that he is okay with death. He knows he can die happy, because he has never killed anyone that he sees as his family. Beowulf shows great strength, even as he is dying.