Your Durachlor tabs are Trichloroisocyanuric acid 99%. It will take several days with these in the skimmer to bring your CYA to a readable level. I don't know how many it will take, maybe someone else here will. While they are dissolving, you will need to keep an eye on your FC levels with morning and evening testing. Expect your evening test to show a marked decline in your FC, especially on bright sunny days, until your CYA level starts to climb. You will notice that you lose less and less FC through the day when you are close to a good CYA level.
Retest your CYA level about a week into using the Durachlor (trichlor) tabs, you should then see that the solution is cloudy, but it may still not be enough to read in the tube with the volume of water in your pool. Question: are you mixing the water and reagent for 30 seconds? That can have a large impact on the test results.
Don't worry too much if your FC goes into the 10-20 range, you are likely to lose a good part of that to sunshine during the day.
Something else, with your K-2006 kit, when testing for FC, use the 10mL sample. It will be close enough, and save on your DPD and R-0871.
You are correct in that no color change with adding the R-0003 means 0 CC.
As Waste said, you are doing fine!
Charlie