In archaic terms the difference between stick and mace
is that
stick is a scroll that is rolled around (mounted on, attached to) a stick while
mace is a billiard cue.
In informal terms the difference between stick and mace
is that
stick is likely to stick; sticking, sticky while
mace is to spray a similar noxious chemical in defense or attack using an available hand-held device such as an aerosol spray can.
As an adjective stick
is likely to stick; sticking, sticky.