Finish dishwasher tablets aren’t individually wrapped. We recently thought we’d try a cheaper brand, but I’m annoyed that they all come wrapped in plastic (I thought it would dissolve in the dishwasher, but no!).
We have a draining board, could do without it. Although, some larger baking trays and pans take up too much space, so we wash they by hand.
I couldn’t be without a dishwasher now! To answer your questions, I tend to use Fairy capsules which just go in whole without unwrapping, the outside coating dissolves in the wash. I do still have a draining board though, there are certain things that still have to be washed by hand unfortunately, I’d recommend that you keep it.
Never had many tea towels to be honest so no difference there!
I don't think dishwasher tabs dissolvable plastic is a problem. It is things like hard plastic microbeads in beauty products that end up in the ocean. The dishwasher tabs dissolve completely (i.e. they are not actually plastic)
Re the “plastic” in detergent capsules (laundry or dishwasher) is made of Polyvinyl Alcohol (PVA) it is a water soluble polymer, it is used in hundereds of applications from capsules to paper making to feminine hygiene products. In solutions of <5% it is non toxic to fish.
All non wrapped tablets will be made with PVA (mainly Fairy and Finish are the non wrapped ones). If you want to avoid completely, only thing would be dishwasher powder or liquid.