If they're what I think they are, your blue and white china are the kind that are quite commonly used in most Asian households, especially in China and SE Asia. The teeny tiny plates are the ones we use for soya sauces and the like. I've grown up with them so much it I had to buy tiny tupperware in the UK just so I could have my sauces out on a separate receptacle during mealtimes. And depending on how teeny tiny the spoons are, I think they're meant for doling out the sauces by whomever wants them. No idea about the bowls though. Embedded rice grains you say?