That really is the best choice for the clear pool you seek. Stick with the SLAM, it WILL recover, and you will be so happy you did.
Clarifier is not a solution and is a bad thing to add for your filter. Clarifier will not, um, clarify anything except your wallet.
Sorry, not the right product either. Your SLAM needs good old fashioned liquid chlorine, or plain bleach. I would put that on the shelf for now and maybe, maybe later down the line you could benefit from the by-products in that pack, you could use them, but not now.
Like I said, you are gonna get the help and knowledge you need to get this right, and it is frustrating, and sucks at times, but you know if you stop and try and find a different "miracle cure", you will be right back where you started, and it will feel worse.