Admin Fields in User Profile

As you can add check boxes for user registration, can you add next to those check boxes for admin in each users profile (after user signs up), not allowing user to change this?

Also, if you have set registration requirements to be approved by admin, can this be set to approve if check boxes have been selected by the admin.

I would like the user to submit what forms they have turned in while registering, then have the admin double check off manually what is on file.

The registration will not be approved until admin accepts AND admin can not accept if check boxes are empty.

For example, user checks that the have turned in W-9. The admin needs to check a box in that users profile that they confirmed the W-9 is on file.