Electricians work for free in the north east???
I got 3 quotes to rewire my house, all plaster had been stripped and plasterboard from ceilings removed, so no access problem.
Total of 15 double sockets and 12 switches.
2 fan isolator plates as wiring was new on them.
All in
wickes slimline.
I contacted my electrician friend and he told me he was too busy, so if he had to do it it would be a job spread over some Sunday mornings for a few weeks.
I offered to pay his normal rate and he said £7k.
He suggested to do what we normally do when I fit kitchens: I pass all the wires, fit back boxes and switches and sockets and he then comes, checks everything and connects to CU.
Total material £450.
Getting older I didn't fancy doing it all by myself, so I contacted 3 other electricians.
Was quoted £6.5k, £7k and £7k.
So your quotes are waaaay too cheap.
I'm in west London btw, but it can't be that much different.
Probably 30% more here, but not 400%.