screenshare whole-disk-encrypted machine

there is no way for a whole-disk-encrypted (file vaulted) machine to be able to screen share until a local user has logged in, is there?

there is no way to prevent a whole-disk-encrypted machine from auto-powering-down after initial powerup if a local user hasn't logged in very soon after initial powerup, is there?

if one wants to have a machine be able to powerup automagically daily (via energy saver schedule) and be able to support screen sharing without having a local user having to login first, thereby preventing a time-out powerdown, then whole-disk encryption must be disabled, correct?

And if whole-disk encryption is disabled, there is no way to encrypt the contents of just one or more of several user accounts, is there?