‘Eruption’ has the idea of something seemingly calm with unobserved tension becoming violent. It’s also less deliberate. She exploded when I doubted her sincerity. (She made a choice to react in a shocking way) The incident led to an eruption of violence among the poor, oppressed inhabitants of the neighborhood.

erupt - to start suddenly and violently explode - Meaning of explode in English explode -- to break up into pieces violently Bombs explode. OR to react suddenly with a strong expression of emotion. Charles exploded when he founded out that I had used his car without permission. :With the word 'violence" we use these verbs: break out, erupt, flare, occur I would say: Charles exploded in rage. BUT His rage erupted suddenly.

The example sentences above both mean the same thing. In a physical sense erupt has an “upward” connotation and explode has an “all directions” connotation - for example: volcanoes erupt (not explode) bombs explode (not erupt) but in metaphorical sense they are pretty much interchangeable, so all of the examples you mention sound ok to use either word.