So running a conductor through a changing magnetic field will no longer produce a charge?
No it won't. It will produce an electric field which can be used to push charges around, but will not produce a charge.
Putting two lead oxide plates in an acid batch will no longer cause a chemical reaction?
Nope - no electrochemical reaction. You need metals of differing electronegativity, like Pb and PbO2.
My goodness, I was unaware that a catastrophe large enough to cause an apocalyptic event would change the fundamental laws of physics.
You're right it won't, but you might want to brush up on what they are before the apocalypse.
You sound young.