Is that your front door? If so it’s very cramped entering the house. There are 2 chairs there, correct? I might remove the couch and the big rug and just place the 2 chairs and a small side table between them with a smaller rug. To me it just looks like you open the door and are bamboozled with furniture. So to answer your question, no I would definitely not add another table. Cute entry table but it’s overshadowed by the furniture.

Like your rug, too. It could go well with a coffee table with wood. The gray one suggested by Beverly would work well in your space, too, especially if you choose a metal and glass coffee table. I always like the idea of having windows with a view that you can see because you don't need curtains or blinds for privacy. Looks as if you may have a courtyard and/or garden outside your window. You might consider adding color to the room via sun catchers -- something that both adds your favorite color and personal interests, especially if you're not needing/planning to add window coverings for privacy. There is a good selection on line in a variety of sizes and shapes and subjects.

They seem fine. I might have only done one and used chairs for the rest of the seating. Ideally the corners of the sofas would not overlap, but I don't think it is a big deal. It looks like there is room to move the one facing the sofa back, though I can only see what's going on on one end.

This room would be greatly improved by a colored rug. Here are some examples. To many rectangles and squares in this room. I would move the ottoman to the near side of the sofa and for coffee table I would do a round table, either a single round table or two round tables next to each other, usually one is higher than the other. If going with a Persian rug or Caucasus rug as shown above, some people like to use glass-topped table to show the pattern of the rug below. Here are some coffee table ideas- Here is a similar one with some glitz- The one below comes in different wood finishes This is a modern rug on Houzz from Mohawk Home, but the colors are just perfect.