Rein was extremely surprised by the details of the book. He was sure that with the knowledge of the history, now he would have an easier time working on the last volume of the book but at the same time, he was a bit sceptical as for how the author of the book was able to find so much hidden information. Some of the information were something that should only be known to Jakery and no one else.
That was the reason why Rein was suspicious about the authenticity of the book but his eye of truth was telling him that everything written on the book was somewhat true. So the author was not lying or making things up.
But still that did not answer the question of how he came accross these information.