I can answer #2 - yes, at least in my setup, its still tied to the traveler line.
For #1, I have a cleat, so obviously I use it. Good question if there's no cleat. I prefer to use the traveler downwind (especially when I'm overstood

), so trying to manage the main sheet, traveler, and tiller ain't going to work too well. I have a hard enough time with just one of the three.
As for #3, we really haven't had conditions this year for wire-wire gybing. I'm a little-bit embarrassed to admit I hadn't really thought that one through yet. Not sure there'd be enough room behind the center block for both guys to cross at the same time. I assume crew would go first and there would have to be hand pass of the spin sheet around the front of the main sheet.
Let's see what JW says.