I think you need a few more recessed lights and to change them all to LED. I’m assuming you’ll also have floor or table lamps as well. As far as shadows and things like that, once you move all your furniture in and put art up, etc., you’ll see less of that. I have to ask, is that a cat on the bottom of the pic? Lol

I know what you mean. I would start with new bulbs, painting and buying a light-ish colored rug.

Do you know what bulbs are in your recessed lights? *Everyone* on here suggests 4000k LED bulbs. I would start with that and then see how the room feels. It might take away that yellow feeling you mentioned. If it does then you can skip the painting and move on to buying a new rug. Something light to breakup up the dark floor but with a pattern to disguise spills and stains.

I think you need to get furniture in there. right now the light is just hitting the floors and walls. Yes change the light bulbs to a 3500k, aslo that fan has lights as well but depending on what this room will be used for you can always swap the fan for something that gives more light.

Assume you will also have table lamps and maybe floor lamps as well?

Do what RL said , 4000k is for the kitchen