What does Libertarian Party (party, not individuals) need to happen for them to move forward in their agenda and helping the country?
It doesn't matter what happens.
From what I'm learning from the other libertarian-natured thread currently in play, there simply aren't enough people in America that can identify with the libertarian ideology for there to ever be enough Libertarian Party members to have a sufficiently powerful effect.
This is especially true gender-wise, as libertarianism does appear to show a significant gender preference by males and rejection by females. Libertarianism's social freedom emphasis is opposed by conservative women, and libertarianism's economic freedom is opposed by liberal women. Considering that there are still a significant number of men who are either socially and economically liberal or socially and economically conservative, they're not likely to switch over to libertarianism.
And if the Libertarian party made all the platform changes suggested by a number of posters in this thread, it would simply cease to be the "Libertarian" Party.
As a power player, I really think the Libertarian Party won't get any stronger.
That probably accounts for why so many libertarians glommbed on to the right of the Republican conservative wing in 2010, their success accounted for partly because of the Republican name that drew those Republicans who were not philosophical libertarians into voting for them and partly because of the Dems' inability to solve the economic crisis.
Though most Americans don't calibrate politically at either wing, the great majority residing at or near the center of the political spectrum, most of them are still registered Dem or Repub where at least they don't experiencing being politically insignificant, and they aren't likely to switch over to a party that's not likely to ever be a player unless they have a sudden attack of either uncontrolled idealism or party self-hatred (the Perot's in 1992 and the Greens in 2000).
In addition, libertarianism's nature, of being left-wing on social issues and right-wing on economic issues, still makes it wingish, and the great majority who are at or near the center of the political spectrum are there because they simply are't drawn to wing philosophy.
I think the Libertarian Party is done.
Only a new centrist party has any chance of taking the great majority at the center and "splitting the uprights", so to speak, in a divide and conquering of the liberal Dems and conservative Repubs. If you are more interested in power than ideology, that's the route to take.