Hi Tabitha, and welcome to the forum!! You're definitely on the right track to getting your pool clear! It's obvious you've done your homework and once you get your pool cleared up, it'll amaze you how easy it is to maintain!!
With a CYA of 60, you aren't at "shock" level with the chlorine til you get to 20 ppm. To clear up the green, you need to get it up to 20 and HOLD IT THERE as consistently as you can. You're doing a good job of checking and adding--just make sure you're getting it up high enough. IN a pool your size, each 2 cups of 10% chlorine will raise your Cl by 1 ppm. Maintain that shock level until the pool clears and until there is no decrease in CL overnight--test before you go to bed and once again in the morning before the sun hits the pool. When there is no CL demand overnight, then you can let the CL drift back down, but never less than 5 ppm. With a CYA of 60, you're going to have to maintain it between 5 and 10 ppm to keep it algae free. Keep the filter running, backwash as needed, just like you're already doing.
I don't really understand why your pH is rising like that--chlorine has a pH of somewhere around 13 but usually the noticeable rise in the pool is fairly temporary. You can still add acid if you want to keep it in the low 8 range, but remember that pH shows falsely high when the chlorine level is above 10 or so. I wouldn't worry too much about that right now, it's fairly easy to fix after you get the pool clear, and it will also help with your TA too.
Hang in there!!
Janet
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