Khanna, 49, was visiting the occupied West Bank when he was held for 90 minutes, he says.
The deputy prime minister tells the BBC Labour's initial response to the conflict was "problematic".
Jayson Gillham sued the orchestra for workplace discrimination after they cancelled one of his shows.
Aid worker Mohammed al-Wahidi had become a prominent humanitarian figure during the Israel-Hamas war.
Burnham, along other with Labour figures, had called for a ceasefire by late October 2023 - putting him at odds with Sir Keir Starmer.
Mohammed Al-Wahidi was one of several people killed when an Israeli missile hit the taxi he was travelling in.
The lawyer for Dr Hussam Abu Safiya tells the BBC his client was so badly beaten he could not recognise him during a visit last week.
An estimated 300 Palestinians referred for treatment abroad have died since the ceasefire began, according to Gaza's Hamas-run health ministry.
Rajiv Menon KC has been accused of creating a risk of impeding justice.
The New York City primaries underlined divisions in the party over Gaza, with implications for the 2028 election.
Rebuilding Gaza is a huge task, which the United Nations estimates will cost $70 billion
Israel rejects the new report by the three-member expert panel, calling it a "libellous sham".