London has plenty of beautiful cemeteries. Brompton is one of the ‘Magnificent Seven’ and has many interesting tombs. It was also an inspiration of names for Beatrix Potter and the resting place of Emmeline Pankhurst.
It's a members-only library but you might be granted access with a research request. The writer's room is great but there's a few special, hidden corners among the bookshelves to tuck yourself away in.
Present is a menswear shop with an award-wining espresso stand inside. They also stock books, cool magazines I’ve never heard of, and random things like soap and tins of shoe polish. I like to buy bags here.