It's an airplane, it should fly more or less the same, Airbus or not.
On engine failures in the sim (A320) I do more or less the same I did on earlier not-so-automated types: Rudder in the correct sense, bit of bank into the live engine, trim the rudder. That's it.
I use B target more to try and help me with the rudder inputs, I bank the airplane anyway. It's worked so far with no particular annotations from instructors.
Re: use of TOGA with low weights and speeds. Vilas said the regulatory performance is met with flex. Airbus FCTM advises to take consideration of the use of TOGA in such cases and that it will "require precise handling". I'd use it but only after initial reactions from the aircraft have been neutralised. However, it seems applying the thrust increase while the aircraft is still on the ground (for the scenario in which you are after V1 but not yet airborne) seems a bit easier to control.