Some answers.
As far as I know, all the mugs, plates & bowls are melamine. They even have the same pattern on the outside. I assume therefore that they are all the same material. Incidently, we also have some "plastic" glasses. I say "plastic" because I don't know what they are made of, except that they are visually clear and lightweight. No staining on these.
The kitchen sink is also "plastic", but I don't know what sort of "plastic".
I'll try the vinegar soak idea tomorrow – if we've enough that is – and report back.
Cyanuric/uric acid. Don't know how to prove that.
Iron in the water. There is a rather funny tailpiece about that. Unfortunately, I am on chemotherapy, and have been for 2 years now. Starting from 2 years ago, my haemaglobin level has gradually dropped such that the medics are now somewhat concerned and rather comically the last 6 readings have been 113, 111, 109, 103, 106, 113. That last reading was taken the day after we came back from Gargrave. Which makes me wonder!
Oh, & by the way, yes we do have a reasonably quantity of tea!
Many thanks for the thoughts, I'll report back.
Peter G. Shaw