That is one nice kit.

You can always order the Speedstir separately later if you get tired of trying to swish mix chemicals while adding drops. Video:
https://www.youtube.com/watch?v=4_EJknrPjYE&list=UUNFkPFCkt9Y_YYNAeLtUr1g
Source:
http://tftestkits.net/SpeedStir-Magnetic-Stirrer-p56.html
Pool stores aren't know for accuracy and the fact they didn't seem to care it was only 6 is another problem. I wouldn't try to change it until YOU test it but once you do 70 should be the number to target. The sooner the better.
CYA - Cyanuric Acid - Protects chlorine from sunlight and determines the required FC level. (outdoors 30 to 50,
SWG 70 to 80, indoors 0 to 20)
You would want to be at a CYA level of about 70 with a daily maintained FC of around 5 - >
http://www.troublefreepool.com/content/128-chlorine-cya-chart-slam-shock
Once you run out of pH down you can use muriatic acid like "we" do to do the same job but it's much cheaper (helps pay for the test kit

).
Just use pool math to figure out how much acid to add to lower your pH to where you want it. - >
http://www.troublefreepool.com/calc.html
BTW, 8.2 for pH is usually the top end of how far you can test so it might be even higher. If you add pH down or muriatic acid and then test later and it's still high that could be the reason. Once you make the adjustment and let the pump circulate it for 30-60 minutes I'd have it tested again (that day, next day but soon). Your eyes really like it better if it's 7.2-7.4