Membership Badge 1939 and another similar Badge from 1939

This set shows 2 Photos, one being the 1939 Membership Badge.  The second badge appears to be like a medal although similar to the Membership badge with markings on it, it is completely different colour and visually.  At this stage we are unable to ascertain what it was actually given for.  It was purchased from a collector in New Zealand who bought it from an unknown person in Claremont over 20 years ago.