3 gallons isn't enough. With a CYA of 60, you need to shock the pool up to 20ppm and try and hold it there. In your pool, each gallon (4 quarts) of 6% bleach will add about 3.5ppm of chlorine. Test at least twice per day and each time add enough bleach to get back up to 20. Run the pump 24/7 and backwash whenever the filter pressure rises 5-10psi over clean filter pressure.
BTW -- Welcome to the Pool Forum!
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