In open concept things don't have to match they just need to coordinate. Choose colors you want in the space and use them in varying degrees in both parts of the room. The rug you have under the table is too big for that space. I would move it into the living room part of the room but orient it the opposite direction. Center it in that space with the window and use it as a guide for furniture placement. You should have at least a foot of hardwoods showing on all sides. Art should be placed with centers at about 60". a grouping should be placed as if it were one piece. Color should be repeated around the room to keep your eyes moving in the space. Center the dining table under the light and lower the light closer to the table. If you do bring in another rug it should also be centered under the light along with the table.Try the table turned the other way. The room will feel less cramped if you can comfortably walk all the way around the table grouping. When I move into a new place I try different furniture placement out for a few weeks then change things up and live with another position for awhile until I find what works in the room best for my lifestyle. Looks like you have a great start. I also love saving money buying at thrift stores and online. Gotta love a deal.

Definitely some sort of shade on the windows. But not inside mount. The windows are set fairly low on the wall, so to lengthen the wall, I'd mount the shades much higher up, and maybe use one shade for every two windows. And paint the white trim the same color as the walls--right now the contrast is not a good look. Here are some examples of what you could do:

I would use woven wood roman shades, mounted above the windows. You can raise them up to get maximum sun when you want it, but close it for privacy or light control, and there are many different options for the amount of sunlight they let through.

Are those ceiling mount? You should be able to do that with the shades as well. You could do outside mount and have them mounted on the wall, not inside the sill space. You can also get a single wide valance with multiple shades, but I'm not sure how long the valance/mounting piece can be. This is where I bought all my woven shades a couple years ago. You can also call or chat with someone to help you decide the best look for hanging them. Wait for at least 40% off sale though https://www.blindsgalore.com/