As long as nothing fails. Engine failure is managed by yaw damper but has limited authority so remaining work pilot has to do. If something fails and aircraft goes in alternate law, pitch(rather 1g flight path) will be managed but roll pilot will have to look after. Airbus is going for more and more automation in A350. A320 is the first came in 88 so will not have everything later versions have.

Yes, It was explained to me that although the A320 family FBW could put in all the rudder required, it is only programmed to put in about half so that PF has to put in the rest and is therefore aware of the engine failure, and more to the point, WHICH engine has failed. i.e, it keeps PF involved in the control of the aircraft and what is going on.

This helps maintain the piloting skill and prevents 'rusting'.