Chlorine and sunlight sould work together to clear CC. But remember, we still don't know what caused the chlorine demand and the CC in the first place, so we're following a general rule and not working to remove a known contaminant.
Yep, keep testing in the evening and morning - doesn't sound like there's any reason to test more often than that. Since each jug adds about 5ppm FC to your pool, add another jug when the FC gets to 28-30ppm.