This may be a silly question, but where are all of the stars? This image is amazing! I love that you can even see the moon. When I saw this I thought, if I can see the earth and its moon clearly from Saturn, then I should be able to see Saturn and her moons from Earth (then I remembered all of the stars, and how hard it would be to make that out in the night sky).
Most cameras only have a range of brightness they can pickup. The rings of Saturn and the Earth are very bright compared to the background stars.
The camera is set to let only a little light in, perhaps by having a shorter exposure or something similar. Not enough light comes in to make out the stars but the brighter objects come through clearly.
If they more light, even to see the stars then the brighter objects would appears whitewashed with brightness and may even otherwise interfere with the photo.