What to do? I've not done any sewing for a while but this problem calls for one thing, covers. These could stop any further unravelling and also guard against sticky fingers that will seek out the nearest furniture surface rather than find a napkin. I consult my vintage fabric cache and find this set of 70's curtains in a heavy drill cotton that will do just fine. Some plain olive green is good for the backing.
These cheap chair cushions from Ikea are ideal for inserts to make them a bit comfier. It takes a few goes to get the pattern right, but after one dud, I've nailed it
How do I look?! Now I just need to make four more...