If the cya test never gets cloudy and the black dot never goes away, then you have no cya reading. So, yes, that will change your shock level to 10. Keep the chlorine level up for a few more days until the pool clears and keep running the pump 24/7. You can go ahead and vac if there is something there to vacuum up. Or you can just filter for a few days and vac later.

In a pool this size, each quart of 6% bleach will raise the cl by a little more than 2ppm. Test morning and evening and each time add enough bleach to get back to 10. After you get the pool cleared up, you are going to need to add some cya. (Before you decide to add some, though, retest your cya and verify that your reading is still 0.) Add an initial dose to get to about 30. Add it to the skimmer and then don't add more, retest or backwash for about a week to give it time to dissolve.

The kit will last for a couple of seasons except maybe the DPD-FAS powder may have to be replaced. The other things should be fine for next year.

And, re: bromine - bromine is a different type of sanitizer. This is a chlorine pool, thus no bromine reading. Hope this helps.