Sir Stephen Timms says personal independence payments (Pip) in England and Wales need changing.
The former Conservative, now Reform UK, MP says the allegations are "entirely false".
The prime minister says he does not want to "jinx it" but "ask me again if we get to the final".
Carns's said a leadership contest was "not the best use of Labour's time" and "we need to get on board" with Burnham.
Adura says the UK government must approve North Sea production urgently to avoid domestic supply shortages.