Can i rest my back or is there exercises i can do to stop this pain in my lower back and leg muscles?

Depends: If its an acute problem rest and alternate heat and cold as tolerated. If its chronic muscle strengthening may be helpful to prevent future problems. See a doc or physical therapist to get specifics.You need to make sure you dont have a ruptured disc before doing any therapy. Make sure if your doing routine execise that you are doing them properly and its not the cause as well.