For the last three images, things are working as intended. Album Managers isn't listed in Assignments because you cannot assign members to a template. Templates are only for providing a particular set of rights/albums for users. Once the template is applied to a user, that user will have the template's rights and albums, however he will not be assigned to the template (hence it becomes empty). Members can, however, be assigned to groups. That is why you can see Album Managers in the Users tab and not in the Assignments tab; you can use a template to give certain rights but you cannot assign members to a template (groups are for assigning members).
As for your original problem, you should be able to manually assign albums to any user who is not part of a group (given that you have the correct rights to do so). If the user is a member of a group, then his managed albums are determined from that group.
Maybe this will give you some insight into why things aren't working as you expect them. If you feel that you still have a problem, please give us some more information and it might help to provide full screenshots of your problem.