You may keep the flooring. But be aware - any change in the footprint (island, wall oven, or opening up a wall) will reveal floor that doesn't look like the rest of the kitchen (age, finish, etc.), OR no floor. If flooring work is not in your budget, you should strive to maintain the current footprint, even if you replace the cabinets.

Nice cabinetry! But if your going to recoat them make sure you have someone who knows what they are doing, or you will have a disaster on your hand... and its not going to be cheap to do it right.

White...ummm IDK about that with your existing finishes but either way do your fluting in a different color too maybe even two tone the uppers. My two bits

Well this is probably really late in the game and you are done. I would make the counters black for contrast there is black quartz or black Corian. I would replace the high table because it doesn't seem to be the righ scale for the room and the wood color is to me is creating a busy look to much wood look. I would extend the island counter for seating and perhaps put a built in sitting area with colored pillows where the wall is. Put a brighter rug in front of the sink and perhaps replace the wood front of the two cabinets on either side of the sink with glass to lighten up the cabinets.

I would break up the floor with a rug to bring some color other than wood into the room on the pass through side of the island. I like the wood cabinets. I would use another color paint that compliments the color of the wood and perhaps the backsplash the same darker color of the counter tops.

It really is a very workable kitchen and seems solid. Paint, rugs, changing countertops and backsplash and freplacing table is how I see it.