1) What other kinds of things would you like to do during that time?

While your energy is recharging, you should be able to interact with certain things, for example a bench, or as you approach a character, you can challenge them. In this "challenge" mode, you can invite them for skill training, or a driving course in a mode of transport. These can be free and optional, and not use your energy.

2) What do you think of the layout and functionality?

I think instead of a long corridoor, you could have portals leading to different streets, for example, a shopping street and a entertainment parade. The entertainment parade might have pubs and restarants. Maybe a blood swimming pool which recharges faster?

3) Where else would you like to go (in non-combat situations)?

i think while you are not in combat, you could explore the graveyard or something like that.