Are you only using cal-hypo for your chlorine? The calcium hardness level is the one reading your pool store didn't give you that you need. If the calcium level gets too high, then you'll have cloudy water issues. Vinyl liners don't need calcium either despite what some pool stores will tell you.

Keep the chlorine high again today. Aim for a cl reading of 10. Each time you test, take the cl back up to 10ppm. There is no such thing as testing too often when you are trying to clear up a pool. You'll need to continue to do so until you can go from sundown one evening until within 2 hours of sunset the next morning without losing more than 1ppm of cl. (It would make this much easier for you if you had a good kit and didn't have to rely on the pool store or on "guess strips" as we call them. See below about picking up an OTO kit to use instead of the strips.)

Run the pump 24/7 and clean the filter whenever the filter pressure rises 5-10 psi over the clean filter pressure which may be frequently as it filters out all the dead algae.

You're going to need some cya, also called stabilizer or conditioner. The label should show cyanuric acid or isocyanuric acid as the ingredient. You'll need about 10 lbs. to get to a CYA reading around 40 which would be a good level. Get an old sock and put some of it in there and hang it in front of a return jet. Run the pump 24/7. Give the sock a squeeze every now and then to help it dissolve. Continue adding more to the sock until you have all 10 lbs in there. It will probably take you several days for it all to dissolve.

A pH of 7.8-8.4 is not accurate enough. 7.8 would be ok but 8.4 would be too high and would need to be lowered some with some muriatic acid. Instead of using teststrips for now, go to Walmart and pick up a cheap OTO/Phenol Red kit (yellow and red drops.) Use that to test pH and report back. The chlorine side of the tester will only go to 5, but you can force it to go higher with a dilution method described here: Testing Without a Good Kit

Keep us posted and, think about that good kit.