1. There is no upload manager in WordPress for files, only graphic images, and that is found within the Admin > Options > Miscellaneous section. You will need to get an FTP program, and there are many free ones, or use Windows Explorer, the default file manager program in Windows. Just type
ftp://yoursitename.com/ and then enter the password and user name and you have a familiar interface to which you can copy files to.
2. WordPress is a blogging tool, not a "do everything" tool. There are many graphics programs out there, some that may already be in your computer, and many free or inexpensive. I've been using Jasc's PaintShop Pro for ages and it's very powerful and will do what you want, and affordable shareware.
3. Again, while there are WordPress Plugins for Statistics check with your host server to see if they have the ability to allow you to view your site statistics.
4. Ditto. You can do this with the above statistics plugins or through your host server.
WordPress is incredibly powerful, but like most good programs, it focuses on what it can do, and not replace closely related but already available products.
If you are looking for a full-bore Content Management System (CMS), you might want to keep looking and skip WordPress. It does a good job emulating CMS, but you have to make a lot of compromises.