The age of lunar south circumpolar craters Haworth, Shoemaker, Faustini, and Shackleton: Implications for regional geology, surface processes, and volatile sequestration

•High resolution LOLA data is useful for crater counting in polar shadowed regions.•Shoemaker, Faustini, and Haworth are Pre-Nectarian; Shackleton is Late Imbrian.•Differential crater retention on sloping surfaces dominates sub-km crater density.•Volatiles in these craters do not significantly influence crater density or age.