1.
I think that Buddhist doctrine is that ...
- There's no such thing as an "independent" nor "permanent" self -- and that what people often call "self" (e.g. body, feeligs, etc.) exist depending on other things
- Holding a view of self, and/or selfishness, leads to suffering
I think that the suttas have little or nothing to say about the "end of the universe".
I don't think they even say that it's possible that "we all achieve the enlightenment" -- only those who see clearly and who make the effort, and even then not immediately.
Maybe something like this topic is relvant too: Should a Buddhist have Children?
3.
Buddhism teaches morality and harmlessness -- if everyone practised that then I suppose there would be no rape.
On the subject of resisting violence, this says ...
If a monk was physically attacked, the Buddha allowed him to strike back in self-defense, but never with the intention to kill.
... perhaps something like that would be applicable, i.e. that you could make an effort to stop the crime if you see it.
I'm not sure that "anger taking over" does any good.
I think that accepting hypotheticals as real can be a source of harm, e.g. "We'd better kill these people now because they might have hurt us in the past, or they might hurt us in future".
So either try to see the world as it actually is without imagining catastrophe; or when you're daydreaming try to imagine instead how you might do better than participate in or initiate violent conflict.