Try a mid-century modern rug like Hemphill's Rex Ray Area Rug Collection or Jaipur Traverse Caracas. I looked up 'mid-century modern rug' and chanced upon these on Houzz. I like the muted colours which would soften the cream on brown. The mid-century motifs would highlight the mid-century chair. Good luck!

Sounds like you have a lot of white in your home! Do you have any interior/exterior images of the spaces in mind? It may be easier to get feedback if we know what we're commenting on. Sometimes a picture tells a thousand words!

I have a similar family room, with big windows and a sliding door and we have block out Roman blinds on them. They sit at the top of the windows most of the time as we don't have any privacy issues with being looked in at by the neighbours. We really only put them down at night in the winter. Ours have a creamy coloured background with taupy wavy lines on them. Very neutral. I never could have imagined that's what I wanted til I saw the fabric. Good luck I'll see if I can find a photo to post.

It is impossible to say without seeing the unit and understanding the natural light and the other colours. I would check out this link from Dulux, then run down to Bunnings to get some samples. https://www.dulux.com.au/colour/whites-and-neutrals/most-loved.html Dulux Vivid White always works well on 1960's trims and doors, but it would be too clinical for walls. Best of luck, Dr Retro of Dr Retro House Calls