Help with Lawn

[BuddingGardener]

Hi
I'm looking for advice about my lawn
To. Summarise
8 years here, new build, original garden fell into the railway within 3 months due to poor construction, builders went out of business so council took on repairs as joint project they found the soil was so contaminated it was unsafe, they restored it

Since then the lawn has been awful looking
After trying everything and getting nowhere, I read that clover grows well in poor soil, I planted clover, it looks great but there are other parts where it hasn't taken. I have raked these parts to get the moss up, but there is lots of dead grass with deep roots still attached.
If you have got this far thank you 🙏
My plan was to rake up as much moss as I can, then apply LeatherJacket and Chaffer Grub Nematodes. Fill in any holes with topsoil then reseed.
What should I do about the dead grass? I have got an electric scarifier should I dig it all up before I reseed? Ohh 😮 and is my plan any good
Thanks for reading I've attached photos

Why plant clover in poor soil rather than improving the soil and having a lawn?
Just curious. I DONT have a perfect lawn btw, I’m just trying to get one. Managed to reseed after previous owners bonfire in the middle of the lawn, that’s the best looking bit of the lawn! I’m trying to find ways to improve the rest of it.

www.express.co.uk/life-style/garden/346989/Alan-Titchmarsh-shows-how-to-get-your-lawn-in-order

www.lawnsmith.co.uk/topic/creating-new-lawn/preparing-the-ground

www.lovethegarden.com/uk-en/article/what-lawn-scarifier-and-how-use-it

My 'lawn' is mostly clover, white, red and yellow. I also have lots of moss, speedwell, daisy, dandelion, buttercup, tiny pansies and plenty of other wildflowers.

I keep the blade high when I mow it to let the plants have a chance. Looks great and the birds and bees love it.

Try reseeding with a wildflower meadow mix. If grass doesn't want to grow there, there's not a lot you can do without major changes to the conditions.

If you're getting moss, it usually means it's not well drained, so unless you improve the drainage, the moss will keep coming back.

Have you put down lawn seed. The dead grass could be some other grass that isn't lawn grass so doesn't like being cut short.

Thanks for the replies, I added a bag of topsoil last year to a bald patch and it's looking great
I bought 150 litres of topsoil this morning I'm going to be busy I have also bought wetting agent I had never heard of this, but I'm hoping for good results.
I'm going to rake as much of the moss and dead grass as I can, aerate with a fork, then water with the wetting agent, top dress using all the topsoil, then water it with nematodes mixture, then reseed and keep moist till germination
I'm going to be busy,
Thank goodness I'm furloughed