It might surprise you, but many of those leaks may be coming from access doors (I see one in the last photo), or a window seal. The water migrates down to the folly. Get it all clean and dry it well with some circulating fans. Wait till you get a rain or wet it outside, in sections, so you can trace leaks. You can also "pressurize the inside with a shop vac or leaf blower. Squirt liquid soap on the outside and look for bubbles.
"If it can't be reduced, reused, repaired, rebuilt, refurbished, refinished, resold, recycled or composted
then it should be restricted, redesigned or removed from production."