Learn English – Difference between “get in touch with” and “contact”

Our basement flooded due to the rain.
We rescheduled the concert on account of the rain.

There is (subtle) difference between those two sentences.

The rain actually caused the flooding of our basement. However, the rain did not physically influence the planning of the concert: we rescheduled it, not the rain.

In many cases, the difference will be so subtle that even native speakers may substitute one for the other.In general, though, I would advise to use on account of when an action or decision is influenced by something, and due to when something is caused by something.

Just to put Davo's answer in as an answer, with a little more explanation...

In terms of the most essential meaning in this context, "in" and "with" have the same meaning. They both introduce adverbials indicating what it took to do what was done. "He broke the thick sheet of glass" stands as a sentence on its own, but is modified by the adverbial of manner "in one hit" or "with one hit". Both "in" and "with" can have other meanings, but here they introduce the same sort of adverbial. Adverbials of manner tell you how or in what way something is done.

However, as Davo notes, they carry different shades of meaning. "With" is more neutral than "in", as with would be more likely to be used if there is no surprise, and in makes it seem more remarkable. You can also indicate that you consider it remarkable by adding the word "just" - "in just one hit".