Re: study of Christology. If you have not already read it, I would like to mention a book I have just finished reading: “Jesus of Nazareth, King of the Jews” by Paula Frederiksen.
This deals with several of the questions you mention in this section. E.g. Why the Jews are blamed for the crucifixion. Why Jesus only and not his followers was punished. Etc.

Hope this may be of interest to you.