1. All three verbs work in the first position. Of the options given, "on" is the best choice in the second case. "by" is not correct. "with" makes sense but is not as good a choice as "on". "through" or "via" would also work.
2. Both are fine.
3. The wording is natural English, but the idea of smartphones "getting" the news does not work for me quite as well as the first sentence
P.S. I myself think that the first clause is not necessary. In fact, this problem comes from an English translation question. There is a clause that mentions the battery in the original text.