I know this is ridiculously late and really testing the principle of “better late than never”, but here are the slides from my October Faithful Question session titled “What does the Church teach about the death penalty?”
http://deaconken.org/presentations/Death_Penalty.pdf
Sadly the video from this session didn’t turn out very well, so there may never be a video of it. When I get to it, I’ll see what I can do.