Anything is possible but I doubt the drive is dying so soon.
What speed are you burning?
If 16X try burning at 12X.
Also if you have imgburn try it . If not download it and try to see if it works for you. It is a free program .
This would tell you if it is Nero causing the problem or maybe your burn speed.
It would help to have more information if the above does not help.
Forgot to ask what is the code of the verbs you are using. Verbs are now made by at least 3 different plants in three countrys and only one of them produces good disk.