Skilled for psych stay??

If a resident had a 3 day qualifying stay at an acute hosp but then sent over to the psych floor, has a dx of dementia with behaviors and was getting IV sedatives before going to psych and comes back to the LTC, can they be skilled for psych since they would need daily monitoring with medications, behaviors, ect??? If so would they be dc'd from skilled once they stabalize? One more, wouldn't the discharging DR from the hosp have to write an order to admit on medicare A skilled services and specify the reason skilled? Thanks ahead of time for the help!