P.S. to last post.
Your increase in calcium may be due to the water you are refilling since it does have some hardness to it, but I didn't run through the calcs to see if that explains it all. When water evaporates, it just concentrates what's in the pool so if you add pure water you get back to where you started, but when tap water has something in it, then it gets added to what's already in the pool. It's possible the rain may add some hardness -- you could test your rain water to find out and also test it for salt which, as you surmise, may be where the salt is coming from (normally rain doesn't have salt, but maybe the winds mix up sea spray with rain during storms -- who knows, just test it to find out).
At any rate, a pool cover would also cut your evaporation and generally stabilize your pool. Other than that, I don't have anything to suggest except enjoy the pool!
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