To get the full sets (for the beginner and advanced kyu there are 60 problems), you have to make an in-app purchase of 0.99$ (0.79€)
The app is pretty smooth, and although I found the price high at first, it's just 0.015$ for problem, which is a good deal for tsumego. It's compatible with iOS 4.2, so you can play in your iPod Touches 2nd gen (like mine
There's also another app (by a korean, I can't remember the name right now), which also offers a free trial (6 levels and 30 trial problems), whereas the full version offers 300 problems per level (1800 total) for (I think) 5.99$ 4.99€ I say "I think" because there are several apps by the same developer, and although three are marked as 1-2-3 (priced 2.99), there's another one priced like this without numbers: I assume it's the full version, but who knows? If someone does, please let me know
I'll add the Nihon Kiin app to my Go app review queue for whatsoniphone.com, stay tuned to the category "baduk"