Has you husband deemed to have capacity? If so, perhaps you should get an LPA as soon as possible. If not, talk to MIND or the Alzheimers Society to see if they can advise you. I would tread carefully about speaking to the Social Worker or the home until you have the legal situation sorted out. My experience is that Home Managers and Social Workers can be quite manipulative in the way they handle things especially if they think there is criticism involved.
I know you want to look after your husband but you have to be realistic too. There are good care homes out there and it may be better for you to visit as many as you can to get a feel for what feels better. The last care home my mother was in would leave her in bed if she was at all reluctant to get up and her health deteriorated enormously. The new care home give her a good lie in but insist that she goes to the dining room for meals. Once she is there, she is happy to stay there and she is, without exception, the last to go to bed!
As for your husband asking to go home, I can fully understand how soul destroying it is. To be honest, it was one of the hardest things and every time I told her it was not possible to go home, she would be down, angry, vengeful, etc. Now I say to her, "When you are better, " or, "Yes, as soon as we can." The difference in her response is amazing and I was just saying to her partner this morning that it has made such a difference to her peace of mind, therefore mine too.
Meanwhile, I would keep up your campaign to get the home to do what they should be doing and keep your own records of how many times you have to ask for this to be done and their responses. Keep a record of all your concerns. We had a book like a Home/School Diary at the home to put things in writing at the home for the Manager to inspect regularly. One thing for sure is that they won't keep the records of this so you want to ensure there is a record that they have seen. The record we had included the date of the concern, the name of the person with the concern, details of the concern and any response, the date the Manager reviewed the concern and the action they took. I photographed it regularly just in case it went missing. When things broke down irretrievably, I was able to prove that I had spoken to them about my worries so was taken seriously by health professionals although, sadly, the CQH were as useful as a chocolate fire guard.
I can't repeat enough to people who have concerns about a care situation to keep adequate records. With the stress of the loved one filtering your thoughts, it is so easy to get muddled.