***Neither a teacher nor a native speaker.***
(Except sentence 2 - "Go get some wine!" because it is the short form of "Go and get some wine!")
Although I'm a big fan of American English I really dislike it when people use already, just, yet, etc. without putting in Simple Past elements.
I would fully accept:
I already got some wine yesterday.
You cannot say, "I have already got some wine yesterday," because yesterday is over.
This means the Simple Past is necessary here.
If you don't put any Simple Past elements, then just stick to:
I've already done that.
Have you already heard that yet/so far?
Anyway it's fully normal for American English - so your sentences would be okay there.
Student or Learner