To me, the current rug looks very monochromatic/brown in a very brown room, but if you like it, then it might be fine. I would love to see something with more colors to liven up the room a bit. Not sure any of your other choices are perfect because I don't think they meld the colors in them with the browns in your room. I think the size looks fine, but think you could also have a smaller one if you placed your furniture a bit closer together. (this might be camera angle). It looks like no one can reach the coffee table easily, from the couch or chairs and the chairs seem a bit far from the couch for a conversation area. I like the blues but would like to see a rug with some brown along with the blues (or other colors)... maybe along these lines.

I have at least ten Oriental rugs of different sizes, and they do go with nearly every style. I would pick one with several different colors in your room, warm and cool, to set off all that light furniture in your beautiful space. Put one in the dining room, hall, family room, bedroom, wherever you have bare floors. With all your light wood rich and varied colors will look wonderful and give life and depth to your spaces.

This is a pretty room with too much Hobby Lobby decor. You've got vases of sticks in display niches. Reminds me of a hotel lobby. Find something you love and want to look at every day to put there. I chose a couple of ethnic artifacts, but it could be art glass, or antique pieces. Here are a couple of rugs that will work better in your room:

Sorry found chair on Pinterest and turns out blog is 6 years old. I searched Lee Industries for the chair, but must be discontinued. Here are others from their site. At least you may have a feel for what you want and can shop around. Leather is also a good choice with a dog