Rice with worm and possibly their eggs I bought a bag of brown rice from a store. After having opened and used for a while, I found there were moths flying in the house. At the same time, I found worms in the rice. I suspect that the moths are from the worms(rice-size, white body, dark head). I guess but am not sure if they are called rice moths. There were also many little sand-like things in the rice bag, are they the eggs of the rice moths?

Will eating this infested rice pose a health risk?
I haven't had that happen since the 1980's.  Sound like the Flour Moth.
Freezing Rice or Flour for 3-4 days will kill the eggs.
I usually freeze local flour/rice for a few days so that I don't have to deal with any potential problem.
If you have pantry moths, or other moths that have hatched, you may need to take extra measures to get rid of them.  Once they start flying, they can get into any opened grain-food.