Do you have a basic 2 way or 6 way kit from the installer? I understand that your K-2006 should arrive soonest, but you do need to know what your chlorine level and pH are now. Having a basic kit handy is a good idea if you run out of reagents and have to wait for shipping.
2 way kit won't be able to test for stabilizer (CYA -- cyanuric acid), but would at least get you your cl and pH levels.
What kind of tabs in the chlorinator? You might check what the ingredients are on those... I doubt that "a couple of tabs" will be enough to keep you cl levels high enough to prevent problems.
Be ready to buy a couple of gallons of unscented bleach, and probably a gallon of muriatic acid. Do read the sticky on using the acid safely!
Good luck with your new pool!
Note: my siggy is wrong, I do have the K-2006. Best pool investment I've ever made!
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