I kinda... don't care about whats going on in this manga.
Anyone knows whats ahead? Is there Yuri in this? if so from which chapter?

Chapter 4 is the most NSFW, as it covers "the incident" in some detail, but as should be obvious from the tone so far, it's not exactly written to be particularly erotic. I thought it was handled really well though. Probably the most upbeat description of the Japanese sex industry I've seen so far.