Kartel, whose real name is Adidja Palmer, Lenburgh McDonald and Nigel Thompson were remanded until Monday when witnesses will begin to testify in the Home Circuit Court.
Burton was shot dead in Portmore, St Catherine, in July 2011.
Justice Bryan Sykes, who is presiding at the trial, told the jurors that they were required to be impartial and keep an open mind until all the evidence was heard.
He told the jurors that they should disregard whatever they had heard or read in relation to the case and to avoid speaking to anyone about the case. He said if anyone insisted on talking to them, they should report the matter to the police.
The Crown is being represented by Deputy Director of Public Prosecutions Maxine Jackson, Crown Counsel Melissa Simms and Broderick Smith.
Defence lawyers Tom Tavares Finson, Christian Tavares Finson, Michael Deans and Tamika Harris are representing the accused.