2) Workers (urban, industrial)- proletariat- are victimized by bourgeoisie b/c they do not own the means of production (i.e. factories, raw materials) so they can't control wages, working conditions, etc)
4) However, they need leadership. So a "Communist vanguard" of left-wing intellectuals must lead
6) Eventually, this will lead to a worker's utopia.
Much of the Communist Manifesto makes pretty reasonable demands: minimum wages, worker safety, fair working hours, no child labor, universal education, gender equality. It only really goes off the rails when trying to explain what the end result is
The concept of socialism predates Marx and takes dizzying variety of forms. Indeed, hardcore Marxists often view it as an unacceptable compromise of the radical revolutionary beliefs of Marxism/Communism.
Capitalism is primarily an economic philosophy based on the idea that a "free market" will determine the value of good and services and that the drive for maximizing profits will lead to innovation for the common good. (This DOES happen.)