You might want to consider lowering your pH to 7.2, as smallpooldad suggests, prior to shocking the pool, but there is no need to continually add acid as you add chlorine--you may get a very small and very temporary pH rise from adding bleach, but it's nothing permanent. The important thing is to get the chlorine up and keep it up, not letting it yo-yo up and down any more than possible.
I also would leave your TA alone....if it lowers (and it won't by much), then you'll be that much better off. TA of 120 is fine, but lower is even better. Concentrate on the chlorine and algae for now.
Janet
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