Again no rudder input (on current 737 a/c) although I believe it may now be available as a 'customer extra'.
It is an option. Fail operational autoland requires autopilot rudder input. However it is limited to the latter stages of the approach and will drop out in the go-around when another roll mode is selected, which can surprise you the same as with the aileron in the engine-failure case as the rudder input is not trimmed, however rudder pedal displacement is there and you know whats going to happen.