What does "over a noun" modify?

1. There is a way to make this government face justice over the Covid tragedy.

2. She recently broke up with him over something trivial.

Q1) In sentence 1, does "over the Covid tragedy" modify the verb "face"?

Q2) In sentence 2, does "over something trivial" modify the verb "broke up"?

Q3) Is it possible to use "about" instead of "over" in sentences 1 and 2?

I'd say yes to these three questions. What do you think?