This sounds like what happened to Hiroshima and Nagasaki survivors who were not too badly exposed. They were sick and weak for a few months after exposure.
It’s all about the white cell count. That would confirm it.
Odd that a pediatrician attributed copious nosebleeds to seasonal allergies!
I’ve read a few times that the dropping of the bombs on Japan resulted in less radiation given off than what’s going on here. And in this instance - additional radiation is steaming into the air around the clock from the core melt downs and possibly the fuel pool of reactor 4. Then the kids are consuming milk and likely other contaminated foods and in theory, would continue to do so for months, years etc. So their Nagasaki happens again and again, day after day.