Dear Jacob,

 Please consult

https://sites.math.rutgers.edu/~zeilberg/Hist21/q8S.pdf

for the full solutions.

You got 5 points (out of 10). Here is what you got right:

#1: one point. It was derived by Euler, not Poisson.

#2: 2 point (you really "cheated" and got the father's profession from the internet. Accorind to the book he was a day laborer), but I did not take any points off)

#3: 2 points




 Best wishes,

   Dr. Z.