“Go after” is usually something that requires effort. To buy stocks is simple … a few clicks of the mouse. You can use “go after” if people went to some effort to accumulate a large percentage of the outstanding shares. Or if a bigger company pursued an acquisition of a smaller company. Or if a company wanted to buy the patents or IP of another. In all these cases, it takes effort to get what you want.

Go after is more for achieving something you don’t have, so “go after preserving” would not really work. You could say, “Every January, people go after their dream bodies by enrolling in gyms. But for many of them, their enthusiasm wanes by February.”

I’m not sure if that one is correct 😊

Ah perfect! I didn’t know that. “Big” is not typically a word we use with dispute. You might say, “there are fierce disputes” or “there are intense disputes” or “strong disputes.”

Well, they’re small 😉

Yes, great. If you’re talking about how things are in general, you can say: “Soon after a famous celebrity appears at a party, there’s always a certain number of guests that go after his or her attention.” I think you might be remembering the lesson on “a certain amount of.” That works for things that are non-countable. A certain amount of water, a certain amount of time, etc. But if you have something countable, like party guests, you say, “a certain number of guests,” or “a certain number of bottles of water.”

OMG! So many basic errors! :'(