Both men were remanded on bail without plea until their next hearing, set for three weeks from now. Judge Peter Winter approved their applications for interim name suppression.
"You are facing some quite serious charges," the judge said as the men appeared via audio-video feed in back-to-back hearings.
If convicted of the most serious charge, they could each face sentences of up to seven years' prison.
The youths, ages 13 and 15, have been referred to Youth Aid.
Kullar touted "excellent work" by a police staffer who was able to track a suspect vehicle on CCTV overnight, resulting in a traffic stop in St Heliers that resulted in the arrests.
"We hope the swift arrests provides some degree of comfort to the victims involved in these matters and sends a strong message that police will not tolerate this type of reckless and dangerous offending," Kullar said.