No you can’t work remotely you have people there who need to be cared for and personal care and daily activities completed usually with a second member of staff.
Depending on what you will like to put as a remote working. Yes you can. But still no man is an island in this kind of organisations, one way or the other you will come to work with team and other staff.
Yes but poor man management put me off. Lazy middle aged women expecting you to do all the work. All they do is waffle, gossip and sit down in the service homes.