I believe the reason the tiles work well with the cabinetry is because the tile is lite in color and flat, its not rustic unlike most terracotta. The expensive cabinets work fine with the floors because of the smooth finish. The floor here is the focal point of this room. The Interior Designer or whoever did this room, did a very nice job, keeping it very simple.

First be okay with the fact the bathroom tiles might need to be replaced. All of them. Replacing them in the bathroom will have the least impact on the rest of the house and whatever comes out in one piece, can be stored for future cracks. Maybe you can find a similar color but a different size, so it won't look too awkward, just an idea. Taking out a cracked tile is quite easy. Put on some gloves and safety glasses and (carefully) smash the broken tile with a hammer. An old screwdriver or chisel will help you tilt the pieces out. Work from the hole outwards to remove the other tiles. Removing a good tile is nearly impossible. Assuming it is still glued firmly, I'd say impossible. But, if you want to try anyway, you'll need to mill out the grout and then figure out a way to lift the tile..

I cant imagine that tiles on concrete will be any colder than concrete alone. But the choice of colour may make a difference to the heat absorption qualities; dark tiles will absorb heat better than light coloured ones.

Yes the windows are in place and I’m sorry I didn’t see this before we had to make some decisions