The second book, which is even better-written than the first, adds a large number of nuances and a great deal of meaning to a lot of little things in the first book. Even without that, I feel there is more subtlety to the plot than you found. I've been reading along with a re-read of the series on Tor's blog site, and it is remarkable the number of small clues Rothfuss hid in plain sight throughout practically every single chapter.

I don't want to spoil anything in case you do decide to read the second book, but it reveals so many new things about the world and the characters and the mythology behind current events that the first book, upon re-read, becomes almost an entirely different story. It becomes a story about a gifted but flawed young man who is for some reason unconsciously retracing the steps of the world's greatest sorcerer, about bad guys who might be good guys and good guys who might be bad guys, about demons and fairies and hidden faces, about a war that is still raging in secret, about the name of the moon, about a love interest who is much more than she seems, about an angel hiding in plain sight, about secrets behind doors with no locks, and about the slow, careful unraveling of the secret of how Kvothe broke the world, and how doing so broke him.

And I've heard that after this trilogy is finished, the story will continue in a new trilogy taking place in the present, with the older Kvothe who is telling the story, and going forward from there.