Have you checked that the leads are all secure? Try a pair of headphones in the front socket and check for sound. Also that no sound facilities on any programs such as Windows Media Player have been muted in error (I'm presuming you can't hear any sound).
A new CD-ROM drive will cost between £12 and £15 for one of the top brands - even better would be a DVD-ROM drive for around £10 to £15 more. It will play CDs as well.
If you only have the one drive, then the jumper is set to Master; if you have a rewriter, then the rewriter is the Master and the CD/DVD-ORM drive the Slave. Enable DMA for both from Device Manager.
To install, switch your system off at the mains (leave the plug in for earthing purposes), note how the power lead, IDE cable and audio lead are positioned and then match up on the new drive.
It's best to use the CD/DVD-ROM drive for audio purposes as it will be more robust life expectancy wise than a rewriter, which is best kept for its key role of burning disks.
Installation of a CD or DVD-ROM drive is identical in the case of the leads, whilst you don't need any drivers as the generic Windows version is the only one required.
When you boot the system Windows should find and install the new drive.