No. Anonymous FTP users are restricted to your "ftp" directory located in the root of your account. These users cannot move below this directory. However, they can move into directories inside of your ftp directory.
No, this is not allowed, by default. You, the client, do not want to be responsible for content uploaded by an Anonymous FTP user which may be in violation of our Acceptable Uses Policy. Anonymous FTP users are not allowed to upload content.
If you need for a particular person to be able to upload information pertaining to your website, you should consider giving them their own FTP account.
The Acceptable Uses Policy applies to not only content on your website, but any contents available to Anonymous FTP users. Please respect all international copyrights and do not distribute work that is not your own or work of which you do not have permission to freely distribute.