About Jack, the Ripper.
It was stated that he was ''dr. Bates'' and seemingly it was a sly allusion to the Psycho's movie character, Bates.
I guess the C's indicated Jack, the ripper was very similar to Bates in terms of personality, story, and appearance.
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After analysing the main suspects one in particular stands out: Dr. Francis Tumblety.
Well, he fits so well that I think answering Dr. Bates is the same as saying Dr. Francis.
Why?
1) Like Bates, he was American.
2) He was a quack doctor and his approach involved elixirs and surgical procedures (the C's told Jack, the Ripper was a mad surgeon)
3) He had a deep-seated hatred towards women (though many other suspects had similar mentality)
4) He was accused of having a collection preserved uteruses (a starking similarity to the taxidermy, which is about preserving animals)
5) Unlike Montague Druitt (another compelling suspect), his death was not by suicide.
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There is also George Chapman, whose similarity to Bates is weaker, but it's worthy mentioning him because he had been involved in healthcare; he had been an apprentice of a surgeon and practiced leech therapy. He worked as a doctor assistant, but he himself wasn't one. He was convicted for other murders, thus got death penalty (didn't commit suicide).
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According to the C's; Montague Druitt definety was not Jack, the Ripper; though he has some very compelling similarities, he had committed suicide, which coincided with the end of the murders. The C's stated that the killings did not stop because Jack, the Ripper committed suicide.
This detail alone is enough to dismiss Druitt,
but I thought for a while it was he due to these points:
1) He and his mom had depression disorder and several female relatives had committed suicide (That wasn't Bates' case, but it indicates some possible mother-son thing)
2) His father was a surgeon (though Montague was a schoolteacher)
3) He had committed suicide by drowing (Bates didn't, but he did sink a car in a lake to conceal proof)
4) He had written a note saying "I felt that I was going to be like mother, and the best thing for me was to die." (Going to be like mother, that's kinda eery similar to Bates, no?'')
5) Relatives suspectes he was Jack, the Ripper (that reminds me of Bates listening to his mom's voice at the end of the movie, where she claimed him to be dangerous)
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A side-note: Psycho's Bates was inspired by a real criminal: Ed Gein. So, drawing parallels between Ed Gein and Jack, the ripper might be useful as well.