Hi,
What is the point for these questions? I am not sure how knowing the answer to them will help you in any way, but I will tell you what I know.
When you file your asylum application, the USCIS sends a complete copy of the asylum application to the State Department in Washington DC for an advisory opinion. At its option, the State Department can transfer the application to its overseas posts (embassys or consulates) to get more specific information about you or the story you tell on the application.
A copy of the biography form you filed as part of the asylum application goes automatically to the consulate in area where you lived just in case the post has information about you.
And if (in rare cases) the asylum office gets suspicious about the truth of your story it can (with permission of the central office) ask the State Department to conduct an investigation in your home country. In that case, I am sure they will send the entire asylum file overseas.
After the asylum office approves your asylum case, your file (not just asylum application, but your whole immigration history) is sent to the Nebraska Service Center in anticipation of your I-485 and I-730 applications. I do not know what they do with your file after adjustment. But after naturalization your file is stored in something called the national record service center.
They do not scan (yet) your documents. They put all the papers inside a think folder with a bar code outside.
Does that help?