As nouns the difference between paw and pax
is that
paw is father; pa while
pax is a painted, stamped or carved tablet with a representation of Christ or the Virgin Mary, which was kissed by the priest during the Mass ("kiss of peace") and then passed to other officiating clergy and the congregation to be kissed.
See also osculatory.
As a verb paw
is to go through something (such as a garbage can) with paws.
As an interjection pax is
a cry for peace or truce in children's games.
As a proper noun Pax is
latin name given to several peacetimes in human history.