there was a blanket ban on them all during some of the covid restricted times. If some hotels have restrictions on now I can't answer why they have. Maybe there choice if hotel is quiet as they need maintenance to keep clean.
Yes. I moved a few days ago and went to immigration with all the relevant papers the following day. 2 guys in front of me were both fined for not going to notify their change of address on time, both were a couple of weeks over, the lady stressed they should have come within 24 hours.