[x] Check out the sights with Nao. You're both complete tourists, but you're the one with the sense of direction. If she goes out by herself, there's a good chance she'll end up in Hokkaido.
[X] The punch itself wasn't the issue, it was the power behind it, none too dissimilar from the ki you make use of to resolve your body. You can learn from that.
[X] To find a place you can safely train, in the presence of fellow fighters. It's one thing to train in a yard or forest, but you've never actually trained in an environment like a gym before. You're curious.
[X] Watch a match in the Stairway with Yoshitoki. He would happily go by himself, but you figure you haven't had the chance to spend much time with him in the past year or so. He's already changed a lot — and on top of bonding, you'll be able to get a look at what fights in the Stairway are like in person.
[x] To observe potential competition. It's callous, but you could be going up against any number of the combatants in any of the gyms. Best to make a start in figuring out who's who.
[x] That Miguel's Stinger! hurt. It's out of the norm, but you could do with your own trump card like that — or at the very least start working on one.