King Charles has acknowledged that the “most painful aspects” the Commonwealth’s past “continue to resonate”, as he indirectly acknowledged growing calls for slavery reprations in Samoa.

The monarch acknowledged the need to “right inequalites that endure” as he told world leaders at the the Commonwealth Heads of Government Meeting (Chogm): “None of us can change the past. But we can commit, with all our hearts to learning its lessons and to finding creative ways to right inequalities that endure.”

He added: “Our cohesion requires that we acknowledge where we have come from. I understand, from listening to people across the Commonwealth, how the most painful aspects of our past continue to resonate.”

The Prince of Wales is using the school run to tell his children about homelessness, just as his mother did when he was a boy, as he attempts to find ways to tackle the issue.

William said he talks to Prince George, Princess Charlotte and Prince Louis when they spot rough sleepers – much in the same way that his mother Diana, Princess of Wales, did when he and his brother Harry were children.

He tells the ITV1 and ITVX documentary – Prince William: We Can End Homelessness: “When you are that small you are just curious and trying to work out what’s going on. You ask the question ‘why are they sitting there?’

“My mother would talk to us a bit about why they were there and it definitely made a really big impact.”

William was asked on the documentary when he felt the right time would be to introduce George, 11; Charlotte, nine; and Louis, six, to homelessness.

He replied: “I am probably already doing it on the school run. The first few times I thought ‘do I bring this up or should I wait to see if they notice?’ Sure enough, they did. They were sort of in silence when I said what was going on.”

There are no plans to host weddings for members of the public on the King’s Balmoral Estate, a spokesman for the royal residence has said.

Weddings are mentioned in plans a representative for the Aberdeenshire estate had lodged for the Queen’s Building, on the grounds near Balmoral Castle.

The plans state the venue “may be used for weddings, dinners, meetings and associated events”, which it said would be “rare throughout the year”.

But a spokesman for the estate said: “There are no plans for Balmoral to host weddings as a commercial venture.”

It is understood the estate has had the capability to host functions and events, both private and public, for a number of years.

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Mike Tindall, the late Queen’s grandson-in-law, says the Queen’s life “wasn’t like an episode of Downton Abbey”.

The world cup winning rugby union player, who is married to the Queen’s granddaughtr Zara Tindall, revealed what the Queen was like behind closed doors in his joint book ‘The Good, The Bad and The Rugby – Unleashed’, released alongside podcast co-hosts James Haskell and Alex Payne.

“I’m sometimes asked if the Queen did informality like ‘normal’ people, and the answer to that is yes,” Mr Tindall said.

“Her life wasn’t like an episode of Downton Abbey, with meals on long tables and everyone dressed in their finery every night, and Zara and I would often watch the racing with her on TV, as I’m sure lots of people reading this have done with their gran.

“Lunches were also relaxed, especially up in Scotland, where lunch would often be heading out into the open space of the Scottish Highlands for a picnic.

“There’s a great picture of my daughter Mia sitting with the Duke of Edinburgh that captures exactly what those afternoons were like: members of a very close family who loved each other dearly spending precious time together. Yes, there’s a lot of drama surrounding the royal family, but they aren’t much different to anyone else underneath it all,” he added.

As the King’s landmark trip to Australia and Samoa come to an end, here’s a look at one of the more bizarre moments of the royal tour.

The King was left in “disbelief” after a crown-wearing alpaca dressed in a suit with a gold bow tie sneezed as he went to say hello on Monday.

The animal was calmly waiting with its owner among hundreds of well-wishers to meet the King outside the Australian War Memorial in Canberra when he committed the social gaff.

Robert Fletcher had brought his nine-year-old alpaca – named Hefner as his mother was called Playgirl – on its lead to meet the King.

But when Charles stroked his nose the animal sneezed and those around him laughed.

Mr Fletcher said afterwards: “I got to shake his hand and then Hefner sneezed. The King just looked in disbelief. But it’s just who Hefner is. He is an alpaca after all.”

The King has said he hopes to “survive long enough” to return to Samoa as he heads back to the UK.

Charles and Queen Camilla ended their four-day state visit to Samoa by visiting a village twinned with the UK, as a major Commonwealth summit was hosted by the Pacific nation.

After his landmark speech at the opening of the Commonwealth Heads of Government Meeting (Chogm) on Friday, the King and his wife took part in a cultural welcome as guests of Siumu village the following day.

He told his guests: “I shall always remain devoted to this part of the world and hope that I survive long enough to come back again and see you all.”