I loved the game Theme Hospital, it was a great game and this song was one of my favourite ones from the game as well which is really nice to hear. My lack of a musical ear can't really tell the diffrence between this one and the original, which is great work on your part. Your recreation would be great to use if someone made a Theme Hospital flash game.
There's not much more I can say about the tune, it all comes together really well, much like the original. Very upbeat and cheerful, though the ending of yours seems a little flat, I can't remember if the original sounded as flat, maybe look into that if you want. Still, overall this is amazing, I must check your other Theme Hospital tunes out :3