Ok, let's take apart your taking apart, shall we? First of all, you're focusing too much on language, and the little bits of it, to boot. Any time something gets translated, there's a good chance some words get changed, or one language doesn't have or use certain words that the target language does.
Ok let's start to take this story apart.
In the spring of 1943. I entered a public elementary school which was located on the north side of Hiroshima Castle, 1.2 kilometres from the spot where the Atomic Bomb was dropped. I casually said to my father that I did not want to go to school on that day. He was a very strict man, but strangely he gave me permission to cut classes. So I was inside, reading a magazine with my brother.
Keep this in mind.
So, her school was 1.2 km away, about 3/4ths of a mile. Outside of "ground zero", but inside the severe damage blast zone.
BUT She didn't go to school, and she didn't say how far away she lived from the school, nor in what direction. We all know how our parents/grandparents/great grandparents had to walk 2 miles to school, up hill, both ways, right?
There were very few children remaining in the city of Hiroshima. School buildings were confiscated for the use of the army
Keep this in mind, too.
I'm assuming you want me to keep this in mind because she was supposed to go to school? she doesn't say "all schools", she doesn't say "my school", she says schools. So there's no conflict here between going to school, and schools being confiscated by the gov't, and in fact, gives more weight to my point above: She might've had to walk a considerable distance to get to this school.
[quote[
There was an air raid the night before, so everybody had to stay in shelters; nobody had a good sleep. That morning my father stayed home later than usual, and my mother was preparing breakfast.
Suddenly father yelled from the yard, I hear the plane![/b]
He said, I hear "THE" plane
The plane was supposed to be at 31,000 feet.
[/quote]
You are putting an historical bias on the word "the". today, we know it as "THE plane that dropped the bomb", and as stated above, this may be a case where she said something that would have a literal translation like "hear plane" and the translator "filled in", to make it an english sentence.
Also, prop planes are significantly louder in air, than our jets are at cruising altitude today.
All the neighbouring houses were damaged. There was nothing left standing. We walked to the river about 300 metres away; during that time we saw nobody. It was dead silent as if we were the only ones left in the world. Because we acted quickly, we seemed to be the first to come to the riverside.
So, minutes after the atom bomb was dropped, burning everything in sight and irradiating everything in sight, they walk to a riverside. 
Perhaps that was the town's/neighborhood's designated emergency response area? You're not very good at this "free thinking" thing today scepti.
Father had my mother lie down in the shade of a bush. Before long wounded people were all around us people badly hurt, people with their flesh melting and drooping because of the burns. They were all crying and yelling. Their faces were so damaged by the heat of the blast that nobody could recognise anyone else.
So people were being burned by radiation but the BUSH was fine and can give shade. Keep in mind this shade for later testimonies of black rain which some people try to tell us was caused by the atom bomb actually making it rain on a hot sunny day...I kid you not.
Probably it was only my brother and I who had no apparent injuries.
Everyone else is unrecognisable due to radiation burns and her and her brother are fine. Does this make any sense whatsoever? It gets better.
With water from the river, my father roughly washed my sister who was covered with my mothers blood.Thank God, she started breathing again. We thought she had suffocated. Father was wild with joy. But my mothers milk had stopped. When he dipped a piece of into the water and tried to get my sister , she just cried in a feeble voice. Something had to be done.
On our side there was a well about 2 metres across. Wounded people peeped down into it. Having no means of scooping out the water, they ended up jumping into the well one after another, until it became a heap of people. Many died of suffocation.
There is a big river with water enough for a baby to suckle from a cloth dipped into it and yet people are jumping down a two metre across, well to get in the water. Seriously?
Father had a responsibility to help other citizens, and he tried to go to the office to grasp the situation. Fires had started here and there; the river was filled with people and animals and furniture. Many people were gathering at the river to get water, so it was impossible for him to cross the river. Father gave up going to the office and decided to help the people around him. He announced that rescue would soon come, asked them to be patient, and tried to prevent rioting and plundering.
He's trying to prevent rioting and plundering. The people are unrecognisable and severely burned and he's not only trying to stop them rioting and plundering but also doing it whilst he is badly injured.
In general here, I think you're over estimating peoples ability to think rationally in a tragedy.
We could not fill our stomachs. I tried to eat cucumbers and eggplants which grew on the riverside, but spewed them out on the spot. After many years, I learned that those who ate them at that time died because of the radiation on the vegetables.
The bomb had only just been built, not even tested and yet this woman knew exactly what the effects were on these plants, unaware of what an atom bomb was. Even the scientists (allegedly) long after, were still studying the effects of what the radiation had done. People want to make up their minds when telling porkies. I mean, stories.
Maybe you should re-read what you colored and bolded. After many years, she learned that the people that ate those veggies, died. She didn't say why she didn't eat them, she didn't imply that she knew what it was, she just spit them out.
The story does not stand up as far as I'm concerned. That's just my take. What others make of it, is up to them.
You "tearing apart", of the story, doesn't stand up, as far as I'm concerned.