All the pilot does is VNAV, and speed control, flaps, gear, comms. Nobody flying for real tracks NDBs, in the current century (airlines certainly don't).
Oh yes they do. All depends what the FMS is approved for. Plenty airlines out there with less than sophisticated kits which are not approved for non precision approaches. My own companies SOP's strictly forbid any NDB approach to be flown using the FMS. Pilot flying/handling pilot must fly the approach with only
sole reference to the ADF. The non flying pilot/pilot monitoring is however allowed to display the FMS overlay on their own individual EFIS display....purely to monitor the ADF/FMS tracks and call out any discrepencies that may be apparent.