Talking generally here.
It will depend on the BAK. The more open, the more difference you will notice. You *shouldn't* be required to install a fuel controller, but it will have a lot of popping and will lack power that you could get if you installed it.
But you should not install the BAK till you install an exhaust that can handle it.
I have no idea what one for your bike. I doubt it really matters too much. It will mostly be a question of what look you want (raw air filter, shape, protection from water injestion, ...). Fuel controller mostly comes down to how much you you want to spend vs how much control over the adjustments you want to have.