Eventually — in the past or by some point in the future You can use eventually in the past: "He took forever to do X, but he eventually got around to it " I don't like either of your examples, though I don't know what's wrong with the second; for the third, I don't think you can ever use eventually with a specific date (past or future)
etymology - How did the meaning of eventually diverge from the French . . . eventually (adv ) "ultimately," 1670s, from eventual + -ly (2) the terms "eventual" and "eventually" were in use in the early 1600s and held its current meaning by the mid 1800s The etymologies point to French éventuel, but both the French word and German eventuell have very different meanings (See this Q A) How did these meanings diverge?
Yet is to already as what is to eventually? Could never do? The relationship between yet and already is essentially one of equality In your example, you're negating it in " not done it yet" And yes, the "opposite" of eventually is indeed never Your dictionary entry is talking about sloppy informal usage of "I never" to mean "I did not" General reference
Can eventually be used for the German eventuell? In the sense above, "eventuell" means "perhaps", "possible", "possibly" Is there word with similar etymology to "eventually" that is used in this way, or can "eventually" actually be used to refer to possibility, rather than chronology?