Hi there! Is this photo from Houzz? If so, you can ask a question directly on the photo and the professional who has uploaded it will get notified and hopefully be able to give you some answers :)

White-matte cabinets (flat panel, not shaker) and white bench (or maybe epoxy sealed marine ply??...siriuskey can tell you about that), mirror splash. Love the ceilings. I personally would go for a modern, stream-line, no handles, integrated appliances look. This space has real potential to be very cool, even with the slate. It doesn't need any more more texture or darkness. This is a nice kitchen, you should be able to sell it on ebay.

I wonder how much time you might have to spend cleaning the roof behind the parapet, perhaps the rain will take care of that, leaves?. If you were going to use these spaces as terrace you would need to adjust the height of the parapet or add a railing, if not the height of the parapet could be reduced

We have recently done a shaker style kitchen makeover for a client, it‘s in the album „Kitchen Renovations“ and from what i understand they are mostly solid wood for the cabinets.