I would be happy if I could record a cover the way you've done it. You've captured the essence of the original very well.
Some people are critical of those who cover a song by slavishly copying the original, but I do it from time to time, because it is an incredibly useful way of developing your listening and analytical skills in figuring out how things are done and how particular sounds are achieved.
Two areas that you might like to consider:
* The vocals are quite rich, and you might want to think about cutting the bottom end a bit, then dropping them back into the mix a bit further.
* It sounds to me like the song is just within your range, and that you are pushing a bit to get the higher notes. At about 1.00 and the corresponding places elsewhere in the song I can hear a kind of strain in your voice, as if maybe you've done heaps of takes and your voice is getting tired. I don't know what you can do about this.