actually, you are dreaming you just lack the ability to remember them. all creatures dream. unless you keep waking up before REM sleep occurs which is beneficial to ones health. for your lack of dreaming i would speak with a doctor, be it a psychiatrist, a psychoanalyst, or a medical doctor to check out your sleep patterns. either way, you're probably dealing with trauma causing your lack of dreaming.
you inability to believe in magick, while sad, is not uncommon. i'm a rather logical person, so there was a few years where i stopped believing in magick because my logical mind couldn't comprehend spells as logically valid. magick is energy, we can tap into this energy and make it work to our advantage. sit outside and meditate, see if you can sense/feel anything. if you still can't grasp magick, i started working with herbs, because i could understand why the magical properties of chamomile could heal, because it takes energy [magick] and the plants own natural benefits. from their i started stepping out slowly casting spells again, and i believe once more. just take it slow.