Ductwork all runs through the ceiling. Or rather, along the tops of the ceiling, UNDER the ceiling and inside the room (rather than up in the attic, though there must be a place in the attic where the furnace connects to the heating ducts) In fact I'm pretty sure that's why they put that stupid "bookshelf" there (with the shelves too close together and NOT MOVABLE eg too short, and too deep for actual books and also not suitable for decorative items either, LOL!). Basically it fills in the space under the ductwork, where in the kitchen (on the other side of the living room wall past the bathroom) the ductwork runs over where the wall cabinets are. The story of these houses is a little weird, they were supposed to use plans that included WOOD STOVES (wonderful way to heat in the desert where trees don't grow) but instead used plans intended for a different Air Force base in another state that included oil furnaces. Thankfully. But the oil furnace was replaced in the 70s or 80s with a forced air gas heater and that was pretty nonfunctional (wasn't even correctly connected to the ductwork). So we had that replaced and the existing ductwork at that time was all up through the attic and running along the top of the ceiling in every room. Anyway so originally they intended to build houses that would have included a connection for a wood stove but since they didn't actually USE those plans I'm pretty sure it was purpose-built for the oil furnace originally, since those were the plans they actually (accidentally) used. Maybe there was/is some stuff involving the old oil furnace in there ... That room is WAY too big for a "coat closet", plus the actual coat closet (also somewhat oversize but still obviously closet-ey) is just around the corner there. The "weird" room is 4 x 6.25 and would be 5x7 ish if it weren't for the weird bookcase and offset back wall with apparently blank space behind it. The coat closet around the corner is extra-deep and larger than any other hall closet I've ever seen @ 38.5" deep - more than 3' deep - and 41" wide. It's HUGE for a closet but at least it actually looks like one. As for that odd space seemingly blocked off there between the bathroom and the weird room, I guess I'll need to take out a bit of wallboard and look. Just seems so odd ...

They are gorgeous, but you've got to do the math. Your wall space is 36". If you subtract 16" for the sconces (8" each), and 8" (4" from the wall on each side). You've only got 12 inches between them!!!! The proportions are completely off. You have got to choose a narrow sconce. It doesn't have to be a bar, but it has to be as narrow as possible.

If you have a curb, you will have the cracks develop there, too. and where the walls meet the floor. Anywhere where two different materials meet or where one surface meets another that is in a different direction (known as "change of plane"). My contractor still grouts such places, too. But I did a solid surface shower that he could not do wrong. I am keeping an eye on the place where the floor meets the shower pan, all other places are in dry areas. So there it is just cosmetic. I would guess that water can get behind your tile with those cracks. If properly waterproofed it is fine, but if not, I would get to this as soon as you can. A lot of shower builders do not use waterproofing, even though it is now required. If you do a search on this forum for "Shower waterproof," you can see many discussions about it and learn what is and is not waterproof. (Redguard yes, Durock no, for instance.)

A bathroom needs a GFCI receptacle that is easily accessible by the vanity, but any additional receptacles in the room are optional. I usually use only one GFCI receptacle circuit, but always make sure there is one wall receptacle on the circuit near the entry door (for a vacuum cleaner, etc.). Based on the current popularity of fancy commodes (with bidet, etc.) I may start putting a receptacle near the commode. The counter height GFCI receptacle on the vanity side wall meets the basic requirement for a bathroom. I would probably just move the double GFCI receptacle on the long wall down to standard height and leave it there. That might also be a good location for a heated towel bar. Where to put the sconce is a combination of esthetics and electrical requirements. Most fixtures can be located as close an an inch from a side wall, but might look funny that close. You also need to work around the placement of the medicine cabinet and the swing of its door. The attached picture will give you an idea of what you might need to consider with sconce and medicine cabinet placement. If you look closely you will see that the medicine cabinets are slightly off from the sink bowl center, since that is the only easy way to make them fit with the three sconce lights. The placement of the sink bowls is determined by the vanity (cannot be changed), but lining up with that sink centerline would have cut into the space needed for sconces on each side. The sconces could not be moved farther out because they got too close to the window on the left and the wall on the right. Bruce