Combine this with fallacies, and you have yourself a fine argument to make against the "life beyond the grave". I will ask this: Is there any Normative Definitions? Is there any "what this should mean" in the text? I feel that if you add that aspect/theme to your argument, you got some great ammo to fight this conspiracy case.
I think it looks pretty good, besides leaving out some fallacies, your chart seems do match what you labeled. I would just add a bit more and make the chart a bit longer!
Maybe add what each Perelman argument is being made in the table as well as what is the premise and premise modifier to make it easier on yourself with explaining what you are trying to argue in your presentation and help with organization.