Anthony Richard Dawson, a 28-year-old supervisor from Leeston, is yet to plea to a charge that he helped Carroll avoid arrest by suppressing evidence.
A 31-year-old woman, who has interim name suppression, has yet to plead to charges of conspiring with Carroll to assault Tucker and with being an accessory to murder.
Justice Cameron Mander remanded all four in custody for a case review hearing on July 29.
A man in the public gallery called each accused a "piece of s***" as they were led back into custody.
The body of Mr Tucker, 36, was found dumped near Lake Ellesmere on Drain Rd, Doyleston on Anzac Day.
He was severely assaulted before his body was burned and then reportedly wrapped in some material, police say.