At the moment, I get two title bars for maximized applications which run through Wine.
Is there a way to get rid of one of them (the "non-unity" one, obviously)?
Is there a way to get the application menu for Wine applications?
Ad title bars: this is a known bug.
What works for me: drag the window to the top edge to trigger Compiz' Grid plugin, which then maximizes the window.
Ad application menus: I don't think that's supposed to work right now.