Kathryn Peltier Design I am quite sure that that is a Barbara Barry fixture (try Boyd Lighting). That "X" is kind of her signature. Both Kichler and Williamsport have similar fixtures. Search on LampsPlus or similar online site for semi-flush mount.
An easy experiment: Test out your rug on the diagonal. You can easily put it back if you don’t like it, but it’s possible it will add an interesting twist to your layout.
This room is really similar to mine as far as size and feel. Also I love the oversized graphic on the wall. I'd love a giant "Cool Hand Luke" poster like this on my wall.