LG GDR-8160B DVD-Rom drive, where to get firmware update?

I have a Gateway computer and am recently having poblems with my DVD rom drive. I have taken it out of the computer and pinpointed it to LG as the maker. The model is GDR-8160B. It is from around 2002 and I was trying to upgrade the firmware as I think that may be the problem. I keep getting cylindrical disc errors so someone suggested to upgrade the firmware. I have been to the LG website but this drive isn’t listed. But they do have model GRD-8161 but unsure if I can use that one. Should I just buy a new DVD drive for $25 and forget about it? Suggestions?