Your homework 5.1 is returned. A couple of things:
#18: you only need one bijection, because the graph is simple.
#43: I got two different answers, depending on whether you thought the graph was directed or not.
#56: how much do we charge for the adjacency list?
For #22: In general you failed to find all 11 of the graphs. Sometimes it was misunderstanding of the term "simple"; sometimes you missed cases; sometimes you included extraneous isomorphic cases. Here's a tree that shows all.