DVD-ROM drive pickup units have two laser diodes, one for DVDs and another for CDs. This is because the pits on the disk surface which contain the data are smaller on DVDs thus light of a shorter wavelength is needed. The light from a DVD laser has a wavelength of 640 nanometres where from a CD laser it is 780 nanometres. Failure to read one kind of disk (CD or DVD) while reading the other kind OK strongly suggests a hardware failure, probably either a burned out or failed laser or the circuitry associated with it. Especially in view of the seek failure described here:
When I put in a CDROM or AudioCD the player makes a chuh-chuh chuh-chuh chuh-chuh sound for several seconds.
No amount of driver downloads is going to fix that laser. DVD-ROM drives are so cheap nowadays* that it hardly makes any sense to spend a lot of time worrying about such things. Replace it.
A couple of random web finds: 8.50 UK pounds at Amazon, for example, that's about 13 US dollars. Newegg have them for around 17 dollars.