Welcome to The Answerbank.
I've been here for 17 years and, in that time, I've seen many, many questions about people getting absolutely nowhere with "the council". The most frequent suggestion (and one that often seems to work) is to remember that your local council isn't really made up of employees based at the council's offices. "The council" is actually comprised of local councillors and it's those people who seem to have the ability to get things moving.
For example, despite me writing a letter explaining a change in my circumstances, officials at Mid Suffolk District Council managed to get my Council Tax bill wrong, resulting in a demand to pay a full year's Council Tax in a single payment (with no option to pay in instalments). When I complained to my local councillor (rather than to the staff in the Council Tax office), she managed to get the entire year's bill written off for me, saving me over a thousand quid!
Other members of this site have reported similarly good outcomes when they've asked their local councillors to look into problems for them.
So I strongly suggest finding out who represents your ward and getting in touch with them. Such an approach will be far less likely to create any problems with your neighbours than any formal legal action might do. (Also, unlike legal action, it can't land you with any big bills!).