I think it is evident that you care deeply for your mum. I think however that that is at the route of all the problems. I would ask you to retread all of your posts and consider how SS and the Care Home view you, based just on what you have posted. While you make reference to your mum, your posts are peppered about everything that YOU want. I want this, I want that. What this then conveys is almost an unhealthy, almost bordering obsessive interest in managing and controlling all aspects of your mum's life. I, for example, even having read everything, am surprised that at no stage you mention what stage your mum's dementia is at or whether she has other health issues beyond the diabetes. There is no mention at all as to whether your mum has the capacity to participate in that long list of activities that you 'want' to see happening. Neither do you say what your mum wants. So, it would not surprise me if the first red flag to the SS and CH was your list of demands vs what they consider is needed to meet your mum's care needs. The shoes vs slippers is obviously something which, lets face it, 3years on are still fixating on. I can tell you that if your mum had the same level of interest in her red shoes and mentioned to staff off her own back that she wanted to wear them, that they would probably have been willing to let this happen. The reality is that after 3yrs, she no longer probably thinks of them other when you bring it to her attention. Don't forget that she is with the staff much more than with you and so they will know her likes and dislikes by now. I have no doubt that at one time your mum was really proud of her shoes and felt good in them. Time however moves on and so I would question whether shoes are an issue for you more than they are for your mum. So, back to SS and CH views, this issue alone would probably just endorse their view of you. You haven't said specifically about the court order but I would hazard a guess that this was a Deprivation of Liberty and Safeguarding application that was made to the courts. One to stop you from removing your mum from the home and to create some breathing space for your mum. What will not have helped on any level was your fit of anger because this potentially puts the staff and other residents at risk.
There is a saying "the road to hell is paved with good intentions". I think that this is the one for you. You have your mum's interests at heart and your intentions about making her twilight years as pleasant as possible were all you ever tried to achieve. Your approach and your list of 'wants' and, being brutally honest, your perpetual criticism of the CH, have led to 'hell' rather than delivering the outcomes that YOU wanted to achieve.
So, is all this able to be salvaged? My view is that yes they can but not if you continue to dig your trench and surround yourself with all your criticisms and your expectations. The first thing I would do is drop all of the grievances and to focus on your mum's actual needs and wants based on her current condition. On your daily visits I would focus on spending quality time with your mum. She doesn't need modern technology what she needs is to spend a quiet hour in your company. She doesn't need to see or feel the energy of confrontation looming between you and the SW, for example. How about you take in a newspaper and go through it together or a magazine? Just look at the pictures even, ask what her fav colour is, comment on fashion, talk about clothing that you remember her wearing over the years, that kind of thing. How about maybe doing a jigsaw puzzle together? Another day, help her to do her Christmas card list so you can get some Christmas cards for her. Talk about the people that she remembers but don't be surprised when she doesn't remember as many folks as you do. Remember that this is about her ...we all know you could write her list for her...but that is not the object of the exercise. This is about her expressing her views and telling you what she wants to happen. If the SW is there supervising the visit invite her to give her views on things, include them rather than exclude them. Let them see that you have dropped the animosity. Hopefully they will over time see the true good relationship that you and your mother have. Then and only then will you be able to ask for the court order to be changed. Any approach based on animosity will leave the courts no option but to continue the order if there is the slightest risk to CH staff, other residents, or your mum's welfare.
I hope you take this in the spirit that it is given. It is based on my view of what you have explained in this thread, but it is, at the end of the day, just that...my personal view.
Fiona