"Aqua Chem Shock Plus" is a hodge podge product, 1/2 dichlor and 1/2 mess. It has 3 other ingredients besides dichlor. One of those ingredients MAY be a persulfate oxidizer . .. and we've seen seeing some allergy problems where those are used. Almost certainly alum -- aluminum sulfate -- is present.

I'd recommend using those 2# to scrub your toilet (not all at once!) and not putting any more in your pool.

As you suspect, you do not need to worry about CH; otherwise, you seem to be on track.