No actually I don't think that having multiple Labeling programs would cause a problem.
You need a LightScribe Drive + LightScribe System Sofware + a Labeling Program + LightScribe discs.
For a Labeling Program, I prefer the LightScribe Template Labeler. I don't use Nero.
The requirements dman states are correct!
One note - in order for a drive to be LS Capable is:
One thing you should do is to check the drive and make sure it truly LS enabled.
This is FAQ 67 in the Knowledge Base:http://www.lightscribe.com/support/kb_searchResults.aspx?question=drive&topicid=
HP has screwed one Forum User for almost 6 months to straighten out the problem caused by a mis-indentified drive in their Parts Database. They could have installed this drive in your system. The drive didn't have an LS Sensor, but had the LS "swoosh" on the front of the drive.