To create static links, you need to have a Paid Account or True Account. If you have a Paid Account, you can simply upload files to wwwhome folder and your files can be linked as:
http://USERNAME.drivehq.com/FILENAME
If you have a True Account, you need to disable your website and re-enable your website to activate your website.
You can also use the Folder Publich feature, select a folder and click on Publish, Once a folder is published, you can use the Publish URLs to link to the folder and files in it.
You can publish a folder using either DriveHQ.com website and DriveHQ FileManager.