I'm estimating your pool capacity at roughly 11,500 gallons. In a pool that size, 3 cups of 6% bleach will raise your Cl by 1 ppm. I would raise the chlorine, using bleach, to 12 ppm and hold it there for a couple of days. With the SWG, I'm told that when you shock the pool it's better to use an additional source of chlorine instead of putting the extra wear on the cell. I'm sure the SWG experts around here can elaborate on that, but it certainly won't hurt you to use the bleach, especially if your SWG is having trouble keeping up.

Don't add anything else to the pool until you have a good set of test results and can post them here so we can help you clear it up.

I'm sure you're going through filters like crazy, because the filter is trying to get all that stuff creating your clouds out of the water. I'd be surprised if you told me you WEREN'T using them like crazy!
Janet