  We analyse the relationship between different extremal notions in Lipschitz
free spaces (strongly exposed, exposed, preserved extreme and extreme points).
We prove in particular that every preserved extreme point of the unit ball is
also a denting point. We also show in some particular cases that every extreme
point is a molecule, and that a molecule is extreme whenever the two points,
say $x$ and $y$, which define it satisfy that the metric segment $[x, y]$ only
contains $x$ and $y$. The most notable among them is the case when the free
space admits an isometric predual with some additional properties. As an
application, we get some new consequences about norm-attainment in spaces of
vector valued Lipschitz functions.
