Starbucks was founded in 1971. There's a good chance there were locations in Tokyo by the early 90's, and a better chance in the late 90's when this story began. The Laughing Man from GITS:SAC is a Starbucks (parody) logo, btw.
Yes, it's possible that Hina only owns the Inn, the Teahouse, and the Annex and grounds, but the lack of corporate penetration into the area points to it being owned by someone disinclined to sell out to the greedy bastards. It's possible that the Hina gods own their properties and shops, since they're immortal and fairly invisible. They're not inclined to change, but not invincible either, since they're disgraced from Heaven, as it were. There's about eight of them, all told, according to scenes from the Anime. They run the flower shop and ink and paper shop and a bunch of those places. Hina holds the inn and teahouse, plus the seaside teahouse, which is obviously not in the district though in a magical area as well. We know that for sure.
I could see her owning many other properties in the district as well. After all, she's been there for a century, according to the Moe episode. Maybe she doesn't, but her fortune has to be larger than the Inn makes if she can afford to run around the world on indefinate leave and still have spare change for repairs. Hina is well funded, like a corporation. That's why its not unreasonable to think she owns much of the Hinata District, if not all of it.