I have off-white and although I love it now, it was a NIGHTMARE to get it to look half decent. Instead of gray undertones, mine have PINK. You would never know it now but I had to go through 3 wall colors, going darker and darker to make the off-white appear whiter. I had to forget the white subway backsplash I'd planned and get something that wasn't so bright white. Then, I had to paint all the trim in the room off-white because having too much bright white in the room, made the cabinets look pink or dingy, depending on the lighting. I'm not trying to discourage you, because it is a nice look.... It's not impossible to pull off, just takes some extra coordination. My carpenter is going with off-white and he witnessed the whole debacle. He said he loves it! Thankfully, my kitchen is closed off to the rest of the rooms, 2 doorways and a pass through window. The rest of the house still has white trim. Despite everything, again, I love my new kitchen. I even noticed that I prefer my brighter white ceramic utensil caddies and vases in the room now. I thought I was doomed to off-white everything forever. Here's the result, not finished yet but not dingy!

My first kitchen remodel and I’m using Schrock cabinets in Dover white. It has a very faint grayish tint. The island will be a dark wood color called thatch. Calacatta lazza quartz for the counters. I’m trying to decide what style and finish for hardware and light fixtures. I also need to pick a backsplash. Any suggestions? I’ve included a few pics. We are bringing the kitchen and appliances into our breakfast nook, opening the wall from dining room into kitchen and will have a peninsula with a bartop for extra seating and view into the family room.

Am I correct that the Alabaster will look a little brighter in satin sheen? It could. There is no hard and fast rule about how sheen affects color. Depends on the color and different people perceive it differently. So, you really need to get a sample from the painter of his version of Alabaster in whatever product he's using and go from there. I would opt for the Alabaster option first because it's the easier option, more consistent option and you like how it renders in your space. ETA: make sure you like how his Alabaster goes with your Dover White trim too.

I would not paint those, they look nice as is in my opinion. The dollars spent for the proper prep and finish could be used for a new top and backsplash which would look awesome in a lighter color granite and subway tile backsplash. This is of coursing assuming the layout work for you otherwise all improvements are out. Just my .02.....................