I deleted my previous post since I couldn't stay away from bugfixing a bit now that you brought this to my attention. I think I've fixed both bugs, but the first one is definitely fixed properly now. But since it seems like you are the only one who has encountered the second bug, I can't know for certain that it is fixed since I can't replicate what you did to encounter it.
However, a new version of the game has been uploaded now, marked with Version 1.0.2 in the bottom left corner of the title screen. If you feel like it you can download the game again and "speedrun" it (since it's mostly dialogue and you've already played it once, holding shift throughout the game should get you to the point with Yukio where the game messed up in a couple of minutes). But I fully understand if you don't feel like doing it. Either way, thank you for bringing this to my attention and hopefully making other players' experiences bug-free!