The second sketch is "End of the World". It's not a Python sketch although members of the Pythons did appear in a version of it with Peter Cook and Rowan Atkinson in The Secret Policeman's Ball
I think the sketch originated in Beyond the Fringe
(starring Peter Cook, Dudley Moore, Alan Bennet and Jonathan Miller). There is a script of the original version here
, although it doesn't have a lot of the more caustic (and funnier) bits Peter Cook put in for the Secret Policeman's Ball
I also found this
on YouTube. It's 3 LSU students performing it for a revue show and it's more like the Secret Policeman's Ball version. It's worth checking out.
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