Are you more rested when you dream all night or when you don't dream at all?

It's not possible to not dream at night because everybody dreams. Probably if you don't remember your dreams, you'll think you're not dreaming. So basically, everybody dreams every night!

I think the group was the Everly Brother

 Dreams carry a message. When we wake up in the morning, we frequently forget about what we dreamed of that night. But sometimes, the message in your dream may be so important or powerful...

All people dream. Most do not remember their dreams on awakening however.

This is a pretty crap dream, but yes.