Yes - after AMP details entered i.e. AMP IP and shared key on IAP setting -> detail page. it will generate a new GUID, which is the only unique identifier for the VC on AMP. it will registered with AMP under new devices list.
Organization string entered on VC setting ->admin e.g. Orgn, will automatically created a group and folder on AMP. once IAP VC device listed under new devices list, select the VC device and click on add from new device list, it will automatically pushed to group Orgn and folder Orgn.
if we are not provided organization string under VC setting ->admin. VC device will list under new device list, selecting the IAP device and click on add, it will automatically pushed to AMP default group and folder i.e. Access point and Top.
Second about VC cluster question:
No need to enter shared key on all IAPs under a VC cluster, one IAP will represent as Master VC, their only we need to enter the AMP details. only this Master VC will appear under AMP new device list. adding this Master VC to a group/folder on AMP,remaining IAPs under this cluster will automatically moved to its master VC group/folder on AMP.
Hope this answers your question