In response to #1: I am using the gnome-shell style greeter.
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https://bugs.launchpad.net/bugs/1090476
Title:
screensaver activation prevents gdm keyboard-only login
To
Public bug reported:
When gdm is first started, it allows keyboard-based selection of users
from a list. If gnome-screensaver activates before a user logs in, when
the screen lock is released by pressing the escape key on the keyboard,
gdm no longer accepts keyboard inputs to select a user: a mou