Take a look at SW Restrained Gold and Blonde. Those are nice honey golds without being too brassy. Glidden Water Chestnut is also nice with blue. As for the stone, it may work with a new paint color, but if not go neutral with it and let that be the accent wall. You don't want to have competing focal points. The carpet is such a striking color that you may not need an accent wall though. Perhaps just a nice large piece of art or some really dynamic fabric. I would definitely paint the woodwork and paint the adjoining dining area the same color. You can set a nice tablescape with colorful place settings for some pizzazz. And i would absolutely change the light fixture in there. There are lots of affordable options out there. I attached some fabric swatch ideas using restrained gold and blonde. Enjoy decorating your new place.

And it seems blue is a color many are painting their cabinets...I love your family photos and a FAMILY ROOM is a great place. I know I am not put off when in another's home and see their pictures. If you ever put the house up for sale the rules change. The issue isn't the color you chose it's the idea of an accent wall. There are other threads here about that and seems they are OUT.

These were from Crate and Barrel — I just saw them as I was scrolling through old photos. Was considering them for my own dining room but stumbled on an incredible deal on some vintage Hitchcock chairs and used those instead. The last two look like your style — antler friendly!

IMO, it is the tongue and groove that needs to be painted dark while the fireplace, trim and other walls go white. I would opt for black to work better with the gray upholstery, and the floors, and to camouflage the TV, which I'd move left of the FP on an articulated arm. I might also paint the FP surround black too.