Consider a warm white paint, that is on trend, and would lower the contrast between the oak and the walls........possibly a blend of the lightest color in your sofa?
find a rug that is done in a tweed effect; cost effective and lots of choices that will work with the warm oak trim.
Also you have a lot of room on either side of the fireplace; consider putting the TV on either side down low over a console?
Or if you are considering new furniture place the TV on another entirely and see about doing a sectional that embraces the new TV location and the fireplace. win win.
Some examples of TV to side of fireplace in rooms with multiple windows and some nice furniture arrangements.
Go big or go home!
Q