Shinjuku Cafe & Restaurant Caravan Hotel

first floor, I think you had better take out.

Just a cup of coffee only. They won't give you any tax free one except you enjoy your own in airport.

They don't serve cheesecakes. Snacks/desserts menu is limited to cookies, one or two flavors of pound cake and granola bar. I remember the roastery out at Kiba served bite sized waffles too. It's more of a quick drink and bite place than to really linger for very long.

Yes, they sell dripper bottles.

Blue Bottle is a chain from Oakland. According to Wikipedia, they belong to Nestle.