I used Paul Strank Roofing recently and would recommend. He is Wimbledon based but been working around the local area for +30 years. He is straight talking (which I prefer!) and his team were pleasant and helpful.
He charged £250 for a drone footage of the roof initially which can be off putting but I found it really helpful to actually see the issue for myself from the footage. In the end he fixed the initial leak, some other minor roof issues, fasica boards, all guttering and our chimney. And I had him replace a roof light too (might a well get it down when the scaffolding is up!).
His pricing was very reasonable too compared to some quotes I had. He has his own scaffolding which keeps the costs down and makes the process smoother as he is not reliant on a separate scaffolding company.
https://www.paulstrankroofing.co.uk/
Good luck with your project.