1. Yes, if all the kitchen connections are next to the bathroom, I find it difficult to see a way to accommodate an open kitchen with decent furnishing. Besides, the living room is already quite large. If you add a cooking/dining area, it might become almost uncomfortably huge. And I believe about half of the people like to live openly. The other half prefer it closed. But we can still speculate a bit.
2. I simply found it easier to furnish without the slant.
3. Opening the office makes the living room, in my opinion, uncomfortable. I think you would prefer to avoid the window. But a corner around the curve would seem strange and unattractive to me. As an emergency daycare, I also find it unsuitable. It should actually be an office or guest room.