With very few exceptions, there will be no copper in your water, unless you added it, or unless you corroded it off of a pool heater. So, to check for copper, check your chemical product labels. (NOTE: you are actually going to have to READ the fine print on the chemical ingredients, to check this.) If you haven't added anything that has copper in it, and don't have a heater, you probably don't have copper.
But, green is not a common color from metals. If your filter is slimey and stinky, and has green slimey clumps, almost certainly, your problem is simply good old algae due to a lack of pool chemical maintenance. Replacing your sand won't necessarily help, unless you've blown a lot of it out during backwashing (also common on AG pools with oversized pumps and undersized sand filters -- and almost all of them have this combo, if they have a sand filter!).
Your reported TA is high enough to encourage algae, so it would also be useful if you take advantage of that low pH, and aerate your pool which will both raise the pH and remove some of the carbon dioxide from the water (ie, carbonate alkalinity). The full story on this is in the Alkalinity section, posted as a 'sticky'.
It's also worth noting that with initial chemical conditions including an alkalinity greater than 200 and a pH greater than 8.0 and a chlorine level greater than 5 . . . the chance that there are any dissolved metals left in the water are almost nil. High pH tends to cause metals to drop out (precipitate or stain), as does high alkalinity, as does high chlorine. Put all three together, as you report, and the metals will no longer be IN your water. They may be staining something somewhere, or on your filter, or on the pool bottom, but they are probably not IN the water.