Org units 107732,108661,108662 are belong to 108053 head node where he is the manager. He should have access to them.
As per the current date he is the manager of orgunit 108053 and its sub nodes .you can check 'period' column in structual authorization for more info.
Query -Organization 107732 is valid since 01.03.2014 for this user, but HRAUTH shows the whole time validity.
not sure why it is showing double entries, are you clicking INDX entried in HRAUTH to get this display?
Can you try with OOSB 'Display Objects' for this user and see his accessible objects?
Thanks,Krishna