To get enough heat and light for the "life",
a planet should orbit the star at 0.5 AU distance in a period of
167 days. On this image we see a cold world with it's special satellite.
Can a satellite have a ring system ?
Of course it can !
Take a look
at this one on Epsilon Indi system. (If you are good with Newton's
laws, you could calculate it for yourself. The result should look
similar to this picture.)