Dan,
What I like most about your version of this classic ballad is your vocal. This lyric is so well crafted that every word counts, and builds on the preceding words. Therefore, every line -every word- lends itself to interpretation. Your phrasing is flat out superb. And I like the way you crescendo on parts of the chorus, and then, back out to the contemplative feel you have through much of the song. The piano playing has a similar feel to the vocal.
My only crits are that the drum part is metronomic, and the organ part is static, with some notes that hang out too long. If I had unlimited resources, I would consider recording the drum part over with a live drummer who was good with brushes, and recording a live acoustic bass part.
You really made this song your own with your voice, which is hard to do when there is a pre-existing iconic version.
Cheers,
Bert