What kind of parrot I have?
I was always told I have a parrot red cap. However, when I look at pictures of them looks anything like that. She is everything green, has a small yellow spot on the edge of each wing, beak of fire, and a bright red head / crown.
By your description, I I would say I had a Red Headed Conure, which fits your description. You can see this on the web. Red Headed Conure type and get the information you want.