Welcome to TFP!
The Eco-Pur system uses filters and mineral system (cartridge?). Some people replace the filter with a Pleatco one at lower cost, but that's up to you. Either way, you manage your spa in the same way using chlorine.
Currently your CC is high, possibly because you have gotten behind in maintenance or because you did your measurements soon after a soak. Generally, you should take your measurements just before your soak or in between soaks, not right afterwards. When you add chlorine after a soak, it will create CC initially and that will go away usually within 12 hours or so.
So I suggest you add more chlorine at this point -- say another 7 ppm FC to get to 10 ppm FC -- and see how your FC and CC measurements look tomorrow. Did you put in your spa volume into the pool calculator? You would then put in 3 in the "Now" column for FC and put in 10 in the "Target" column. If you are using 8.25% bleach (that's what Clorox has switched to and other manufacturers may follow -- they might still be at 6% so see what it says on the bottle), then it says to add 5.1 ounces of bleach, so just figure 5 fluid ounces. Does that make sense?
Your pH is clearly too high so you need to add dry acid to lower it, but the reason your pH is high is that your TA is too high. That should be lowered by significant additions of acid. If I put in 8.2 under "Now" and 7.0 under "Target" on the pH line then I get 3.4 ounces volume of dry acid to add. You'll need to add multiple times to get the TA lower by aerating (i.e. use spa jets) to get the pH back up after you add the acid. The 3.4 ounces volume (5.1 ounces weight) of dry acid will lower the TA by about 30 ppm. So you'll do this multiple times to get your TA at least below 80 ppm though we usually recommend 50 ppm if you are going to use the Dichlor-then-Bleach method (you'll also add 50 ppm borates at that point once you get your TA down to around 50 ppm).
You might test your fill water since if the TA is significantly lower you might consider a drain/refill to sort of start over and would require less acid addition to get things into balance. If you decide to do that, you should also consider doing a biofilm/grease removal procedure if you have never done that. You would use a product such as
Seaklear Spa System Flush or
Ahh-Some you would add to your water (I believe they recommend removing the filters first) before you then dump and replace the water. This way, you start off with a clean slate.