what kind of bulbs do you have in there? they look on the lower temperature or 'yellow' end. You may want to replace the lighting, or at least the bulbs to something in a 4000K temp. what color is currently there? it already looks like an off-white. I like using the white straight out of the can with no tint added. it's the perfect white. You could always try that in your closet. with your lighting, it will take on a warmer hue anyway. And, if you don't like it, take it back and have your tint added to it for another color. free. I've never heard of Simply White having a green cast. it's one of the most neutrals whites. Chantilly has a blue/green cast. does it have to be white? why not a color? I'd also paint the wood trim in there a glossy white. it will help w/the freshen-up. Alabaster is a warmer white. pale oak is the perfect neutral and works with everything. (you could do that for the wall and the Alabaster for that wood trim)

I love the sage green trim around the lighter front door, RL Location!!! I guess I like the green and brown as those are the colours of my Dad's house in Maine and it looks so great in its surroundings. Classic is classic for a reason! I think the green trim would really complement everything. Sorry about the windows. I hope you didn't find my comment insulting as I didn't mean it that way. There are pains and stains for vinyl windows, btw, but I've never used them so no experience.

The backsplash can be changed so leave that out of the equation. As for the rest find a white you love and use it for the cabinets and the walls then no issues.Or think of another color for the walls I love a really soft grayed green I use ray Wisp BM and often cut it 50% for a wall color that has a bit of color but still really neutral then just do the cabinets and all the trim in Super White.

There isn't a paint can left in the garage or cellar for you to match? I don't think you will be happy trying to match the white. You can fudge it on the ceiling, by doing the best you can with swatches and painting your choice on the ceiling in flat finish. I know that will work. As for the built-ins, which aren't built-ins, why not paint them Agreeable Gray in a semi-gloss finish. The difference in sheen will be very attractive. You could paint the backs of the cabinets a coordinate color. With the cabs painted, I think the mantel needs to be painted, something in the same family, but much darker.