If your pool is vinyl, then the hardness is unimportant.
But with a CYA of 120, you need to maintain a chlorine level of (if I remember correctly) 8 or 10 to 15ppm. Otherwise you cannot count on it staying algae-free for long. You could drain half your water and replace it, which would drop CYA to 60--High, but easier to maintain--5 to 10ppm of Chlorine. But you better add bleach soon or risk trouble.
Alk is very, very high. You should lower it to prevent scaling.
Just because water looks clear doesn't mean it safe to swim in, or that it's going to stay that way. With a CYA of 120, a Chlorine level of 4 is going to have troubles killing the important stuff--bacteria. When algae grows all the Chlorine is consumed by it and there's none left to keep the water sanitary.
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