Psittacosis
Katz' symptoms are correct. I had a bird who had it and I was tested. Simple but fairly expensive blood test. Thank goodness, I tested negative and we cured the bird with 6 weeks of antibiotics. He went on to become the Papa of a whole bunch of little ones.
The other you mentioned is coccidiosis and I don't know whether parrots get it or not. Chickens sure do so it would be worth checking if you have chickens or pigeons around you.