Membership as a security/administration model for upload/download of documents

Hi community,
I'm working on a website where it should be possible for registered users to upload word documents. The administration of users is done through Membership and Profiles. When the documents have been uploaded, the following needs to be achieved:
Non-registered users should not be allowed to download documents I should be able to control which users that has access to which documents I should be able to register which user downloads which documents I should be able to track how many times a document has been downloaded Can this be achieved be using Membership and Profiles?
Thanks in advance
Best regards
Phecdaret
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