New sub-domain

I want to create a new subdomain and also create a new user account with access to the subdomain and only that sub-domain.

But after creating the subdomain and creating a user with access to that subdomain it placed a logs and mail directory in there along with several other files plus it locked off the directory from being viewable in a web browesers. This is the complete oppostie of what I want.

I removed the mail server. So can I delete the mail direcotry? What about getting rid of the log directory and those files. And how can I get it so when you got a my subdomain u get a listing of files on that direcory instead of a Forbidden message?