A Very Accurate Recreation
I don't really know much about this game, so I went and listened to the original first; after doing so, I then listened to your remix. Here are my thoughts:
I think this is a great recreation. You took the basics of the song and laid down the melody very accurately. Changing up the instruments was also an interesting touch, and this song does have a very "Winter Wonderland" feel to it, which is--of course--the main theme of the song. So very well done.
But I still want to hear more! I'd love to hear some of your own inspiration in a piece. I would not call this a remix myself, because it still lacks a good feel for the artist-- that's you. Having said that, however, it is a very well constructed piece, and I can tell your skills as a MIDI artist are growing.
Well done ^_^