Why did he become a NEET? At least if he's looking for a job, isn't there usually part-time work available? And why did he only think about looking for part-time work after getting kicked out? Or did he work before but is now unemployed?
Oh, I liked this first chapter a lot. Both of them are likable and I can see their romance happening in a bunch of different ways. Added to the library. Thanks for the SL!