Since it sounds like you have very little CYA, shocking to about 12 would be the target I would suggest. In this size pool, each quart of 6% bleach should add slightly less than 1ppm of chlorine. Adding 5 1/2 gallons should have taken your cl level up to about 19ppm which is plenty high! You actually don't want to go quite that high to avoid damaging your liner. As many times per day as you can, test and add enough bleach to get the cl back up to 12. A minimum of twice per day and more often is even better and will clear it faster. Run your pump 24/7 while you are trying to clear the pool. Watch your filter pressure and backwash when the pressure rises 8-10 psi over clean filter pressure.
For your calcium hardness reading to be so high, you must have used cal-hypo in the past. No more of that. Your reading is pretty high and may be contribute to cloudy water problems. Stick with bleach. (Also, you do not have a bromine reading.) I would suggest getting a good test kit. We recommend the Taylor K-2006 or 2006C.
Keep us posted how things are going.
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