Not trying to talk you out of new chainrings or moving to a belt, but be aware that timing rings only wear on one side of the teeth, meaning the leading face of the captain’s teeth and the trailing face of the stoker’s. What that means is that swapping the rings gives you a new set of wear surfaces.
Timing chains last a lot longer than drive chains since they don’t have to shift and flex sideways. A lot of people use the same type of chain for timing as they need for the drive chain so that repair parts are interchangeable.
#1 is to make sure the eccentric is adjusted properly.