I think rooms with wood floors always look better with an area rug to anchor it.

Yes to an area rug, with an even border of flooring around, if you can. I think the doors should move elsewhere, and full drapes, hung to give clearance for the heater, will then show more nicely. Budget allowing, the addition of picture molding and a chair rail would help meld the wall features together better.

I would remove the things next to the windows, get an area rug, and then get roman shades for the windows.

I don't care for the black items on the back wall either. I feel like it throws off the room being next to the window like that. A nice piece of artwork would looke great over the buffet. I have had really good luck finding pieces at Pier One.

Lower the accent pieces at the windows to align with the top of the trim, and maybe consider plantation shutters, though the room could really use some color.

Nice