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1) Yes, it can be used with ZoneHVAC:IdealLoadsAirSystem.

From the Energy+.idd, you can see the list of acceptable equipment:

RoomAir:Node:AirflowNetwork:HVACEquipment,
      \extensible:4
      \memo define the zone equipment associated with one particular RoomAir:Node
  A1, \field Name
      \type alpha
      \reference RoomAirNodeHVACEquipment
  A2, \field ZoneHVAC or Air Terminal Equipment Object Type 1
      \begin-extensible
      \type choice
      \key ZoneHVAC:TerminalUnit:VariableRefrigerantFlow
      \key ZoneHVAC:EnergyRecoveryVentilator
      \key ZoneHVAC:FourPipeFanCoil
      \key ZoneHVAC:OutdoorAirUnit
      \key ZoneHVAC:PackagedTerminalAirConditioner
      \key ZoneHVAC:PackagedTerminalHeatPump
      \key ZoneHVAC:UnitHeater
      \key ZoneHVAC:UnitVentilator
      \key ZoneHVAC:VentilatedSlab
      \key ZoneHVAC:WaterToAirHeatPump
      \key ZoneHVAC:WindowAirConditioner
      \key ZoneHVAC:Baseboard:RadiantConvective:Electric
      \key ZoneHVAC:Baseboard:RadiantConvective:Water
      \key ZoneHVAC:Baseboard:RadiantConvective:Steam
      \key ZoneHVAC:Baseboard:Convective:Electric
      \key ZoneHVAC:Baseboard:Convective:Water
      \key ZoneHVAC:HighTemperatureRadiant
      \key ZoneHVAC:Dehumidifier:DX
      \key ZoneHVAC:IdealLoadsAirSystem     <===================================== HERE
      \key ZoneHVAC:RefrigerationChillerSet
      \key Fan:ZoneExhaust
      \key WaterHeater:HeatPump
      \key AirTerminal:SingleDuct:Uncontrolled
      \key AirTerminal:DualDuct:ConstantVolume
      \key AirTerminal:DualDuct:VAV
      \key AirTerminal:SingleDuct:ConstantVolume:Reheat
      \key AirTerminal:SingleDuct:VAV:Reheat
      \key AirTerminal:SingleDuct:VAV:NoReheat
      \key AirTerminal:SingleDuct:SeriesPIU:Reheat
      \key AirTerminal:SingleDuct:ParallelPIU:Reheat
      \key AirTerminal:SingleDuct:ConstantVolume:FourPipeInduction
      \key AirTerminal:SingleDuct:VAV:Reheat:VariableSpeedFan
      \key AirTerminal:SingleDuct:VAV:HeatAndCool:Reheat
      \key AirTerminal:SingleDuct:VAV:HeatAndCool:NoReheat
      \key AirTerminal:SingleDuct:ConstantVolume:CooledBeam
      \key AirTerminal:DualDuct:VAV:OutdoorAir
      \key AirLoopHVACReturnAir

2) You have modified the RoomAir:Node:AirflowNetwork:HVACEquipment to use a new ZoneHVAC or Air Terminal Equipment Object Type 1 but failed to update the ZoneHVAC or Air Terminal Equipment Object Name 1 to match the ZoneHVAC:IdealLoadsAirSystem.

Original:

RoomAir:Node:AirflowNetwork:HVACEquipment,
  LeftUpper_HVAC,          !- Name
  ZoneHVAC:PackagedTerminalAirConditioner,  !- ZoneHVAC or Air Terminal Equipment Object Type 1
  NORTH_ZONE PTAC,         !- ZoneHVAC or Air Terminal Equipment Object Name 1
  0.04,                    !- Fraction of Output or Supply Air from HVAC Equipment 1
  0.04;                    !- Fraction of Input or Return Air to HVAC Equipment 1

You need to modify it to be:

RoomAir:Node:AirflowNetwork:HVACEquipment,
  LeftUpper_HVAC,          !- Name
  ZoneHVAC:IdealLoadsAirSystem,  !- ZoneHVAC or Air Terminal Equipment Object Type 1
  North Zone Ideal Loads Air,         !- ZoneHVAC or Air Terminal Equipment Object Name 1
  0.04,                    !- Fraction of Output or Supply Air from HVAC Equipment 1
  0.04;                    !- Fraction of Input or Return Air to HVAC Equipment 1

1) Yes, it can be used with ZoneHVAC:IdealLoadsAirSystem.

From the Energy+.idd, you can see the list of acceptable equipment:

RoomAir:Node:AirflowNetwork:HVACEquipment,
      \extensible:4
      \memo define the zone equipment associated with one particular RoomAir:Node
  A1, \field Name
      \type alpha
      \reference RoomAirNodeHVACEquipment
  A2, \field ZoneHVAC or Air Terminal Equipment Object Type 1
      \begin-extensible
      \type choice
      \key ZoneHVAC:TerminalUnit:VariableRefrigerantFlow
      \key ZoneHVAC:EnergyRecoveryVentilator
      \key ZoneHVAC:FourPipeFanCoil
      \key ZoneHVAC:OutdoorAirUnit
      \key ZoneHVAC:PackagedTerminalAirConditioner
      \key ZoneHVAC:PackagedTerminalHeatPump
      \key ZoneHVAC:UnitHeater
      \key ZoneHVAC:UnitVentilator
      \key ZoneHVAC:VentilatedSlab
      \key ZoneHVAC:WaterToAirHeatPump
      \key ZoneHVAC:WindowAirConditioner
      \key ZoneHVAC:Baseboard:RadiantConvective:Electric
      \key ZoneHVAC:Baseboard:RadiantConvective:Water
      \key ZoneHVAC:Baseboard:RadiantConvective:Steam
      \key ZoneHVAC:Baseboard:Convective:Electric
      \key ZoneHVAC:Baseboard:Convective:Water
      \key ZoneHVAC:HighTemperatureRadiant
      \key ZoneHVAC:Dehumidifier:DX
      \key ZoneHVAC:IdealLoadsAirSystem     <===================================== HERE
      \key ZoneHVAC:RefrigerationChillerSet
      \key Fan:ZoneExhaust
      \key WaterHeater:HeatPump
      \key AirTerminal:SingleDuct:Uncontrolled
      \key AirTerminal:DualDuct:ConstantVolume
      \key AirTerminal:DualDuct:VAV
      \key AirTerminal:SingleDuct:ConstantVolume:Reheat
      \key AirTerminal:SingleDuct:VAV:Reheat
      \key AirTerminal:SingleDuct:VAV:NoReheat
      \key AirTerminal:SingleDuct:SeriesPIU:Reheat
      \key AirTerminal:SingleDuct:ParallelPIU:Reheat
      \key AirTerminal:SingleDuct:ConstantVolume:FourPipeInduction
      \key AirTerminal:SingleDuct:VAV:Reheat:VariableSpeedFan
      \key AirTerminal:SingleDuct:VAV:HeatAndCool:Reheat
      \key AirTerminal:SingleDuct:VAV:HeatAndCool:NoReheat
      \key AirTerminal:SingleDuct:ConstantVolume:CooledBeam
      \key AirTerminal:DualDuct:VAV:OutdoorAir
      \key AirLoopHVACReturnAir

2) You have modified the RoomAir:Node:AirflowNetwork:HVACEquipment to use a new ZoneHVAC or Air Terminal Equipment Object Type 1 but failed to update the ZoneHVAC or Air Terminal Equipment Object Name 1 to match the ZoneHVAC:IdealLoadsAirSystem. name of the ZoneHVAC:IdealLoadsAirSystem you created, which appears to be named North Zone Ideal Loads Air per your picture.

Original:

RoomAir:Node:AirflowNetwork:HVACEquipment,
  LeftUpper_HVAC,          !- Name
  ZoneHVAC:PackagedTerminalAirConditioner,  !- ZoneHVAC or Air Terminal Equipment Object Type 1
  NORTH_ZONE PTAC,         !- ZoneHVAC or Air Terminal Equipment Object Name 1
  0.04,                    !- Fraction of Output or Supply Air from HVAC Equipment 1
  0.04;                    !- Fraction of Input or Return Air to HVAC Equipment 1

You need to modify it to be:

RoomAir:Node:AirflowNetwork:HVACEquipment,
  LeftUpper_HVAC,          !- Name
  ZoneHVAC:IdealLoadsAirSystem,  !- ZoneHVAC or Air Terminal Equipment Object Type 1
  North Zone Ideal Loads Air,         !- ZoneHVAC or Air Terminal Equipment Object Name 1
  0.04,                    !- Fraction of Output or Supply Air from HVAC Equipment 1
  0.04;                    !- Fraction of Input or Return Air to HVAC Equipment 1