I have a Thinkpad T22 with the UJDA720 CD-RW drive and I sorry to hear you are having problems with the drive.
If you have Windows XP, then you can try the following steps from
http://www.annoyances.org on how to use the XP CD writing wizard:
http://www.annoyances.org/exec/show/article01-110
Data CDs
1.Open Explorer, right-click on the drive icon for your CD recorder, and select Properties.
2.Choose the Recording tab, and
make sure the Enable CD recording on this drive option is turned on.
You can also specify maximum recording speeds, which should match your optical drive's ratings.
Set any other options here as desired, and click Ok.
3.Drag-drop files onto the drive as though it were just another hard disk. You can even create folders and rearrange files by dragging and dropping.
4.When you're done, right-click the drive icon (or the Files Ready to Be Written to the CD note above), and select Write these files to CD.
The CD Writing Wizard appears, which allows you to specify a label for the disk (a task that is unavailable elsewhere). Follow the instructions here to complete the process.
Audio CDs
1. Open Explorer, right-click on the drive icon for your CD recorder, and select Properties.
2.Choose the Recording tab,
and make sure the Enable CD recording on this drive option is turned on. You can also specify maximum recording speeds, which should match your optical drive's ratings.
Set any other options here as desired, and click Ok.
3.Open the Windows Media Player (wmplayer.exe).
4.Select Taskbar from the View menu, and then select Media Library.
In the tree on the left, navigate to Media Library -> Audio -> All Audio (if you're not already there).
5.Drag-drop any MP3 or WAV files into this window in the desired order. (The Move Up and Move Down buttons at the top of the window are disabled here for some reason, but the songs can be rearranged after the next step.)
6.When you're done, click the Copy to CD or Device button on the left (or select Taskbar from the View menu, and then select Copy to CD or Device).
7.The songs to be written to the CD are shown on the left, and any songs already on the CD are shown on the right. The playlist can be reorganized by right-clicking and select Move Up or Move Down.
8. When you're ready, click the Copy Music button in the upper right. Any MP3 files will be temporarily converted to WAV format, and then all tracks will be written to the CD.
You can also try updating the CD-RW BIOS to see if that fixes or corrects the writing/reading functions of the drive.
Here is one website that has a UJDA720 BIOS update for IBM computers:
http://forum.rpc1.org/dl_firmware.php?download_id=256
You can also try contacting Matshita (Panasonic) to see if they can send to you by email the newest BIOS firmware for this drive.
I hope this helps.