OK.

For now, add 1/4 gallon of plain 6% household bleach (all those adjectives matter!) which should add about 3 ppm of chlorine.

Get a gallon of muriatic acid (Lowes, hardware, etc.), and add about 1/8 gallon. Guess at the dosage; do not try to pour it out and measure it! Use glasses & gloves, and rinse away any splatters promptly. The fumes are a problem: avoid them by partially submerging the bottle in the water and pouring with the lip of the bottle only a few inches above the pool surface. Do NOT store the acid indoors; even tiny amounts of fumes leaking out can damage wiring!!

Once you have the kit, please take complete readings (FC, CC, pH, TA, CH, & CYA) and report them.

Regarding alkalinity, don't try to raise it, till you have pH, and hardness results as WELL as TA (total alkalinity) results.

Your low alkalinity + high pH suggest that it's worth looking for a source of aeration on your pool. Aeration strips the carbonic acid / CO2 from a pool shifting the carbonate alkalinity lower and the pH higher. A fountain, a water fall, a suction leak adding bubbles to the pool could all be the source of the problem.

Ben / PoolDoc