Since you basically have no CYA in there, whatever chlorine you do add is gonna quickly be lost to the sun. The amount of bleach you mentioned will take your chlorine to just a little over 3ppm. I think you should take it higher so that it won't drop to zero so fast. I'd add 2 gallons of bleach. That would take you to about 5ppm. Until your CYA comes up, you'll need to test and add bleach at least twice per day. Each time, take it back up to 5. (In your pool, each quart will add about 0.6ppm of cl. You can use that as a reference to figure out how much to add each time you test.
Until your kit arrives, pick up a cheap OTO/Phenol Red kit (yellow and red drops) from Walmart or someplace. Your pool store's readings sound so sophisticated with all those decimal places but .......... no testing can do that. Also, a CYA reading cannot be read if the level is below 10, so another reason to be skeptical of the pool store readings. I'd suggest just doing your own testing.
We still need to know the ingredients of the items requested in the previous post. I'm assuming one of them is cal-hypo based on your CH reading. I wouldn't use any more cal-hypo. Your vinyl pool doesn't need calcium and you are approaching the level where it can start causing cloudy water problems.
Keep working on getting the pH lowered.
WOW! What a big pump. WAY overkill for your pool. Hope you have a HUGE filter!
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