Those sconces seem out of scale for the chairs and w/ the mirror arrangement. A bit oppressive for me.

White Ostrich plums, enough of them arranged in a fountain shape may look pretty on the sconces.

For the table, a collection of crystal candlesticks on a plain linen runner rather than flowers?

I'm also open to ideas to replace the sconces... or maybe I should just remove them?

I think I would like the jars back on the sconces. Perhaps just concentrate on affixing better anchors in the wall to hold them securely. You have a beautiful home!

If you keep them, I'd put some kind of draping plant on them, like ivy.

They're certainly not necessary, though, as you've got a lot going on there already.

Each of your items by themselves are lovely. But too much for my taste. IMO, the sconces in the first pic are too large for the space. They overwhelm the chairs and look dangerous even without anything on them. I would prefer a simpler look, even on the buffet...leave the lamps and the tray with drinks and that's it.

If you want to use the wooden sconces, it looks like there might be room for them next to the window treatment, but it's hard to tell from the pic.

I like the sconces on the other side as they are so much more airy and jewelry-like.

For the table, I would get a table runner that coordinates with the colors in the room. Then add a couple of substantial candle sticks with candles in them, and a bowl in the middle with something in it...fruit or glass orbs...or not if the bowl is already fancy, or a decorative vase.