Here’s the photo.... something glitchy is going on with houzz and it wouldn’t post

Yes, and at under the sectional and the end table. It’s not absolutely necessary, but makes things more inviting and comfortable. Your table is much too close to the sofa, and really not the right one. Maybe a small round one.

I would. I think it would help break up some of the darkness between the floor, table, and sofa.

I think a round rug would look great and break up all the rectangles.

Measure the two seat cushions and base coffee table size on them. Rug should extend past the two ends of the sofa by a foot and slip under the front 1/3 of the double seat portion.

Do you want one? Then Yes. Simple.

I like your rectangular table and think it looks ok without a rug; however, if you want your area to stand out, a solid color orange or turquoise rectangular rug would help your area look even better.

I would add some orange pillows and then a shag rug for some texture in the space I also find the art hung a bit too high A lighter looking coffee table would be nice too.