The street, Lamington Drive, is a play on words: Lamingtons are an Australian cake. They are sometimes used in fund-raising activities by schools and other organizations, whereby they are sold in bulk. Such activities are referred to as 'Lamington Drives'.
When Mary is crying in her room during her college years, there's an Abba poster on the wall. Mary is an overweight young adult living with her mother. In 'Muriel's Wedding (1994)', the main character Muriel is also an overweight young adult living with her parents - obsessed with Abba. Mary's voice actress, Toni Collette also played the part of Muriel.
In one of the many letters Mary sends to Max, she sends a picture of her Dog Sonny digging up the skeleton of his wife Cher; These are the names of Val's pet-dogs from Harvie Krumpet, Another animation by Adam Elliot.
Grandpoppy Ralph is seen wearing swimwear with the phrase 'LIFE BE IN IT!' On the front. This is a phrase from an Australian advertising campaign to go Australians more active in outdoor activities, such as swimming.