The icemaker works regardless of door position, it is the dispenser augur which will stop if the left door opens. You can dispense ice and pour water from the dispenser all day long with the right door open.
Pull the bin from the Ice2o enclosure and see if there is any ice cubes still in the icemaker mold. If it is dry, there may be valve solenoid problems. If there is ice in the icemaker which has not ejected, replace the icemaker assy.