Hi, and welcome to the forum!!
Some of the others will comment on your shopping list, but here are a few things I see that I would do differently...
1) a 1 1/2 HP pump is too big for this pool. You're only talking about roughly 13,500 gallons...I have a 1 Hp pump on my roughly 26K gallon pool and it's all the pump I need. A pump that is too big will create problems for you in the long run. The equipment guys will comment on this, but I would think a 3/4 HP pump would be plenty for this size pool.
2) the 5-way test kit, if it uses drops, might be okay--but we very strongly recommend the K-2006 kit that can be found online in the link in my sig. A good test kit is a MUST if you don't want your wallet to be at the mercy of the pool stores.
3) If the chlorine tablets contain copper, forget it. Adding metals to your pool water is adding problems, even if it's cheap. Lots of folks find out the hard way that cheaper up front can be really expensive long-term.
4)Pool startup chemical kit--you can probably forget this, because you can get most everything you need (except the test kit) at WalMart for a lot cheaper. Don't know what's in the kit, but basically you're gonna need bleach, borax, baking soda, maybe some muriatic acid, and a little stabilizer. Nothing else. You don't need "shock", or algaecide (chlorine bleach does both and doesn't add unwanted stuff to your water).
5. Do some reading--lots and lots of it--around this forum and at our sister site, PoolSolutions.com. For now, you can use the Google search feature in my sig to search through the forums, although you may have to log out to read the threads until Ben completes your registration. AFter that, spend as much time reading as you can, and feel free to ask any questions that you'll have!![]()

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