Arwen lives? {He finds it difficult to swallow. All of his dreams come true. The Ring is destroyed, his friends live, his love lives and he marries her. He knows Arwen will make a wise and gentle Queen; he only hopes he can be such a good King.}

I believe Bilbo is his Uncle. {With Hobbits, such things are hard to keep track of - with their longer lives and many branching family trees, Aragorn too has trouble seeing relationships.} I understand why Frodo would wish for rest. The Ring's taint is not easily forgotten.