@Gargantua:
Questions #2 parts 2 and 3 are still outstanding if we have any official takers.
Question#2
Part #1:
@rulebook:
Phase 4: Noncombat Move
In this phase, you can move any of your units that didn’t move in the Combat Move phase or participate in combat during your turn.
If there had been a sea battle no unit would be able to move during NCM, as all of them had taken part in the sea battle.
As there has not been a sea battle, the Carrier would be able to move, as it had neither moved during CM nor participated in the assault.
Part #2:
Indeed, the carrier may not move to a friendly seazone during CM, as “units can’t end their movement in friendly spaces during the Combat Move phase” (page 12). The “Sea Units starting in Hostile Seazones”-Rules do not apply.
In case the defender would be able to scramble, it would be different, as one of the exceptions listed on page 12 would match. But not in the given scenario. And the other exceptions listed on page 12 don’t match, either.
@Gargantua:
And …if you have amphibiously assaulted a territory from a friendly SeaZone, that means your ships have “moved” during the combat phase.
No, your ships have either participated in the assault (thus can’t move during NCM) or not (the carrier). The carrier can move during NCM.
Part #3:
No, as pointed out in parts 1 and 2.
If there was no sea battle, every unit not being part of the attack may move during NCM.
(Of course sea units starting there may move during CM, in case they move to attack elsewhere.)