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Tony Barry and Barrie Cassidy examine new polling that shows the upcoming South Australian election could deliver a nightmare result for the Liberal party and the first test for the reported surge to One Nation. The Barries also examine Angus Taylor’s new-look shadow frontbench and the fiery political debate around returning IS families.

In his first comments after the arrest of Andrew Mountbatten-Windsor, Anthony Albanese says that the ex-prince has had an extraordinary fall from grace. And while the prime minister is a firm republican, this disgrace will not prompt another referendum. Speaking with Guardian Australia’s political editor Tom McIlroy, the PM hits back at Pauline Hanson’s comments about Muslim Australians. He also discusses what would happen if the 34 Australian wives and children of Islamic State fighters stuck in Syria made their back to Australia

Andrew Mountbatten-Windsor has been arrested on suspicion of misconduct in public office by police investigating his dealings with Jeffrey Epstein. Six unmarked police cars carrying plainclothes officers arrived at the Sandringham estate while the former prince was celebrating his 66th birthday on Thursday. Officers searched the Norfolk property as well as Mountbatten-Windsor’s former home at the Royal Lodge in Great Windsor Park. Lucy Hough speaks to the Guardian journalist David Pegg

For many Australians, the only chance they will have at owning a home will come in the form of tragedy. House prices have become so expensive that Australians are increasingly relying not just on the bank of mum and dad, but on the inheritance that comes with their death to get a foot on the housing ladder. Over the next 20 years, it’s expected $5.4tn will be passed down from baby boomers to their beneficiaries. But experts warn that this great intergenerational wealth transfer presents one of the biggest challenges the country has faced in decades. Reged Ahmad speaks with deputy features editor Celina Ribeiro about how the age of inheritance is threatening economic equality, faith in the ‘fair go’, and even in democracy itself

A group of 34 Australian women and children have been forced to return to a detention camp after attempting to flee Syria for their homeland. Reged Ahmad speaks to senior reporter and former foreign correspondent Ben Doherty about the fierce debate over their repatriation and what it means to be an Australian citizen

Extreme heat is already the most common cause of weather-related hospitalisations in Australia and with heatwaves intensifying, our climate and environment correspondent Graham Readfearn put his body to the test in an experiment. In a climate chamber at the University of Sydney, he walked on a treadmill while temperature conditions were constantly adjusted, adding direct sunlight and higher humidity. Graham joins Nour Haydar to talk about how extreme heat affects us, our cognitive functions and our chances of survival

Barack Obama has caused a frenzy after saying he thinks aliens are real during a podcast interview. The former US president was forced to release a statement clarifying he had not seen any evidence of extraterrestrials. There is a long-running conspiracy theory claiming the US government is hiding extraterrestrials at Area 51, a highly classified air force site in Nevada. Lucy Hough speaks to the host of the Guardian’s Science Weekly podcast, Madeleine Finlay

As Australians watch Donald Trump continue to crack down on immigrants, a private prison company used by ICE in the US is now running detention centres in Australia. In the US, the company faces allegations of ‘gross negligence’, and in Australia, staff inside the detention centres have highlighted safety concerns, including a rise in sexual assaults. Reged Ahmad talks to chief investigations correspondent Christopher Knaus and investigations reporter Ariel Bogle about the growing scrutiny over the Albanese government’s decision to put the company in charge of Australia’s detention regime

A recent survey has painted a damning picture of the bullying and abuse some of Australia’s coaches, referees and club officials face each week on the field – and parents are responsible for almost half of it. Sports reporter Jack Snape tells Reged Ahmad about the impact of poor parental behaviour on grassroots sport

Every Sunday, we’ll bring you some of the Guardian’s best stories from the week. Stories we loved, that made us feel happy, sad, or just made us think, read out by the people who wrote them. This weekend, unsettled by how angry our world has become, journalist and author Brigid Delaney explores what we can do to break the contagion of rage we’re seeing in our everyday lives