The original, like most Castlevania music, is almost so damn perfect already that the only thing a remix would do to it was screw it up. You didn't do that. It's very faithful to the original in melody and instrument choice. Almost like it was an alternate/beta theme to the actual thing.
Only thing I didn't like was that it was so short. Even repeating the main loop at once up to the "little glockenspiel-sounding chime thing" would've been great. ^^;