It is a nice song, as you know. But...
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as you prefer opinions about how to do it better
I'd say that, in my opinion:
-volume of accomp. is sometimes too much low (or your voice is too much present).
-accompan. is nice but something repetitive. In this sense, I would change it a few in chorus, and I would add some drums too in this part of song. Or perhaps another style would be better in this song.
Your voice is great and have feeling and richness. Yes, sometimes a semitone more or less here or there, but nobody is perfect.