Sure thing, sounds nice, and would be a nice tune for the restaurant too so there's certainly no problems there. On the tune itself, I must admit I haven't listened to much of that type of music but it's nice. I myself enjoy a bit of jazz every now and then, mostly stems from watching Cowboy Bebop, not sure if you're familiar with the show.
Well she can play what she likes, as long as it's not hard-rock or dub step. xD
It is a classy place, so something along those lines. But yeah, they can meet whenever. Up to you, they can meet briefly before she performs. I'm thinking Hane could be talking to the manager and Yuri stops by to say hi and they exchange words. Then she performs and then they can talk some more.
Or we can open the thread with her performing and they can meet afterwards.