Turn off the screensaver and see if it sleeps.
If not, update the video
driver.
Use free Revo uninstaller in Moderate mode to remove the Norton bloatware, then install the expert's choice free Microsoft Security Essentials for a lightweight, nearly invisible solution with no noticeable system impact. Turn on System Restore and apportion as much HD space as possible.
Next, click through the WEI score at Computer>Properties to choose Advanced Sys Tools, then choose Performance log to see what is happening at the moment it tries to sleep.
What is the suspend setting in BIOS - S1, S2 or S3?