Police prosecutor Sergeant Iain Patton opposed bail and said Kearns' claims were "unfounded".
"We have no information about that," he said. But Kearns, who was representing himself, spoke up again, saying that he wanted the media to "publish this information".
"I'd like the media to be aware of this. My old lady is paying for a hit to be put on me."
Kearns was remanded in custody until Thursday where he will appear from custody via audio visual link. Police said late last night that charges against three men and one woman were laid after an investigation at a property in New Brighton at approximately 2pm yesterday.
As well as Kearns' charges, a 26-year old man and 26-year old woman were each charged with possession of cannabis for supply.
Another 23 -year-old man was charged with possession of cannabis.
All three are due to appear at Christchurch District Court next week.
Police investigations are continuing.
Earlier this month, Kearns - who testified against his mum in her murder trial last year - won $55,000 from Milner after she framed him and put him behind bars.
Milner admitted perverting the course of justice and was jailed for two years and eight months when she sent herself death threats and claimed they were from her son.
Kearns was arrested and spent 18 days in custody - including his 19th birthday - while it's alleged that police took 13 days to carry out a search warrant which would eventually clear his name.
He has also launched legal action against police for allegedly failing to properly investigate his case.
Milner is currently serving a life term with a minimum non-parole period of 17 years for the murder of second husband Phil Nisbet in 2009.
She has lodged an appeal against her conviction at the Supreme Court.