Hi and welcome....
I know you are probably feeling a little frustrated and overwhelmed right now, but we can help you through this.
You're water shouldn't look like that. I'm not sure that metal's are the issue with the way your water looks.
I understand where you are coming from, when I first came to TFP I was right where you are....I had high copper, high iron and my water balance was way out of whack.
I notice you have a floater in there. (Some tablets contain copper too....HTH brand Dual Action for sure....) You mentioned also using Dichlor shock. Use of trichlor and Dichlor can contribute to an overstabilized pool (too high CYA).
Also "Polymer based" doesn't necessarily mean it's a good algaecide. Some "polymer based" brands contain copper.
In a properly balanced pool, algaecide is rarely, if ever needed, and usually only in specific situations. If you have visible algae, you need chlorine. Algaecide is meant as a preventative, not treatment. But pool stores don't tell you that.
I myself balked at spending money on a test kit. I had spent LITERALLY hundreds of dollars in 2007 spring opening my pool, and didn't want to spend one more dime...
The money I have saved (since I got my own kit) on pool chems - the kit has paid for itself 5 times over, if not more, and I'm still using it (got it over a year ago.)
Strips are sooo inaccurate. Back in the day they told me my numbers were "ok" and they were not.
My CYA was well over 100. No one could explain to me why my son's hair was turning green, why I was having trouble holding FC!
AFter finding TFP and getting some excellent guidance, and then doing a series of partial drains and refills to lower my CYA, I was able to rid myself of the metals issue - after having spent $80 on sequesterants that spring in 2007.
You should try and determine how the metals got in your pool to begin with. Your levels are high, though I'm pretty sure that's not the main issue in your pool. That you likely have too high CYA.
Do you regularly use copper-based products? Is Iron in your fill water? Do you have a pool heater?
I would have your
tap water tested by the pool store too, so you know what you are dealing with. Because IF you have high CYA you're going to have to a partial drain anyway and IF your tap water doesn't have metals you can kill two birds with one stone, and not have to spend too much on sequesterants.
You should post a full set of water results - not from test strips. We can advise you better with good test results.
I have a permanent blackish-ring around my pool liner water-line from having the copper in my pool. So IMHO you should figure this out rather soon.
Hope this helps.