I have no idea what kind of animal Pat is supposed to be. A rat? a vole? A mongoose? Your guess is as good as mine.
I think at this point the artist has given up. He doesn´t care about perspective anymore, he doesn´t even bother drawing backgrounds. He is just randomly posing characters in the panels. Note how the kind is sitting on the throne all the time and in the last panel standing about somewhere in space. And alice is poking her head in, so that we don´t forget who the main character is.