As this could end up in legal action given the intransigence of school and LADO, it's appropriate that the OP is showing very clearing he covered all possible bases with all of the possible cogs-in-the-safeguarding-wheel before moving on to such action.
As regards what is essentially the style of his emails, yes it may suit some people for his replies to be laid out differently, with an opening paragraph comprising 'my new response, written as a pithy summary', with the rest of the paragraphs labelled as 'appendix A: mostly reprise, but with the ramifications of my new, latest response woven in'. However, the OP's emailed correspondences serve his future legal purposes very well. The substance has gone over the LADO's head anyway.
As for funding, and publicity, I believe the OP is already receiving advice.
The persons who ultimately carry the can are the elected members - the politicians - who fill the roles of Cabinet Member for Children's Services, and the Leader of the Council.
Here they are, as published on the Council website:
Brighton & Hove City Council
Cabinet and their portfolios
- Bella Sankey - Leader of the Council and Cabinet Chair
- Jacob Taylor - Deputy Leader and Cabinet Member, Finance and City Regeneration
- Gill Williams - Deputy Leader and Cabinet Member, Housing and New Homes
- Emma Daniel - Cabinet Member, Children, Families, Youth Services and for Ending Violent against Women and Girls
- Tristram Burden - Cabinet Member, Adult Social Care, Public Health and Service Transformation
- Tim Rowkins – Cabinet Lead, Net Zero & Environmental Services
- Trevor Muten – Cabinet Member, Transport, Parking and Public Realm
- Birgit Miller - Cabinet Member, Culture, Heritage and Tourism
- Leslie Pumm – Cabinet Member, Communities, Equalities and Human Rights
- Alan Robins – Cabinet Member, Sports and Recreation
I think Cllrs Sankey and Daniel are another base worth covering (with personal letters) so that they can never say, 'we didn't know'. We may suspect that they don't care, but it's important for posterity to show that they
wilfully didn't do the right thing. The Children Act and Safeguarding are there for a reason.