Well, normally I might rush to say organic, but the shape of those stains seems odd. It's difficult to know if chlorine form the tab is what removed the stain, or acid from simply eating away some surface material. Almost like a mini acid wash.
At this point my best recommendation would be to get yourself a TF-100 or Taylor K-2006C test kit. IMO the TF-100 kits are a batter value (link in my signature) but feel free to shop on your own. But you really need to have accurate test results at this point. No guesswork. The free local testing is very unreliable. A full set of accurate test results might tell us more about those stains.