01 is indeed the SMW title theme.
Also SMW reuses the same melody in a lot of places, so 03 could just as easily be SMW Overworld as it could be SMW Athletic or SMW Underwater. Given the arrangement's slow nature, I think it fits Underwater best, but all of these tracks take a lot of liberties with the originals so who knows which one they were trying to do here. 02 on the other hand can only be SMW Overworld because it contains
this part which the other two songs don't have.