Hello, and welcome to the forum!!
Sounds like you've been doing a lot of the background homework, and you'll find that it'll make poolkeeping much easier. I encourage you to go to our sister site, Poolsolutions.com, and read all that you can there.
I'm guessing that the pool store didn't "give" you all the recommended shock, etc....you have to be careful with pool stores and remember that they're in the business to make money, and when your pool is nice and clear, they don't make any money.....so many times they'll sell you lots of stuff you don't need. For example: is this a vinyl liner pool, or gunite/plaster? If it's vinyl, then you don't need calcium. You also don't need phosphate remover, no matter what type of pool it is. What is the ingredient in the "shock" that they sold you?
I very very very strongly encourage you to get your own test kit and do your own testing, instead of relying on the pool store. This is a plus when you're maintaining a clean pool, but is pretty much going to be an absolute necessity when trying to clean up a neglected pool. It's also going to save you a ton of money in the long run. We recommend the K=2006 or K-2006C (same kit, the C version just has more reagents) that can be purchased through the Amazon link in my sig. When you use that link (for test kits or anything else), Poolforum makes a little money on the deal, and every little bit helps. Make sure that Amato Industries is the seller, though--some of the other sellers are substituting a kit that won't be as good for your purposes. If Amato isn't listed, then check back again in a day or so after they've restocked.
If you can post the numbers that the pool store got from analyzing your water, as well as the list of stuff they sold you, we'll be more than happy to help you sort it all out, and save you some money while you're at it.
What size pool, pump, and size/type of filter do you have?
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