Local authority Searches necessary?

[HumourReplacementTherapy]

We've had an offer accepted on a house....... (at last!!!)
Around 3 months ago we had an offer accepted on a different house but it fell through.
We had paid for the local authority searches on it and got all the reports back. (Nothing came back bar radon gas but we know that always comes up in the city we live in)
The one we are buying is bang opposite the one that fell through and is in the same postcode.
Is it worth repeating any of the searches?
They seem to cover the other house too but I'm wondering if there's anything I'm missing...., something that's specific to the house rather than surrounding area?
The surveyor will check planning
Solicitor has basically said it's up to us
(Cash buyers so not at the mercy of mortgage company)

Has the house had any building work? Planning and building regs compliance will be on there. Drainage search?

Environmental and flood should cover it if nearby - you usually get it for a few blocks so should cover drains. Just do one pertaining to the property itself - though if your solicitor snd check history, snd building work and liens then ok. I've bought without searches.

Thanks for your reply,
Yes the house has had an attic conversion, so had the last one and this wasn't covered by local authority searches, the solicitor and surveyor dealt with it. (It was the surveyor who identified that next door were building a massive extension to within 20cm of the detached property) The searches were just vague. "There are X no of applications within X miles"
This time I have checked all surrounding properties for planning but the surveyor said this forms part of his desk top survey prior to visit.
Drainage I will check if I can have a separate search for this, but again last time the searches didn't seem to cover it specifically to the property. It just checks for pollutants risk.