In Poe can you rush someone through the story or plvl them?

Yes and yes.

Yes you can, there is essentially a down level option so you can power level somebody. Although you still have to do the entire campaign so it makes it faster but still takes several hours.

yea im hosting service in softcore kalandra too just finish setting up unless you think you can do beter

just trying to figure out how to help one of my friends xD

its easy only problem is keeping track of quests

Yes you actually can.
Do this before 3.20 and the new Nerfson patch. Might be not possible on the next league.