Ok, well the fuel damper's job is to keep the fuel going at a constant rate (around 40 psi) which is why I believe that had fixed my problem. I read in the past that you can test the fuel damper by running your car for 30 minutes, then turn it off and unplug the fuel damper and if you smell fuel then it's supposed to be bad. I have never done this myself and I can't verify that it is correct but I did read it on this forum and I'm sure it's correct. I almost forgot I also changed the fuel filter when I did the fuel damper, fpr, and fuel lines. I wanted to do it all in one swoop and that's when my problem was fixed. It also makes things a lot easier when taking it all apart bc you can just cut the fuel lines which is much easier then trying to take it all apart carefully. If you do end up replacing the fuel lines when installing the new ones I recommend putting mild soap on the ends of the new hoses and a little on the inside to ease installation of them. It made a world of a difference.
The biggest problem with this car is every condition in a car is different and i what may have been my problem can be something very different for someone else. Another thread I have referred to at times
http://www.premierz.com/300zx-hesitation/. When I had the hesitation I found that it was easiest to start with the simple free things to see if I could fix it without spending any money and then went to replacing parts. I started with cleaning the throttle bodies, the iacv vavle, making sure those hoses (idle air hoses, there's five of them) are not causing a vacuum leak and then moved onto the fuel system. You can also check the tps by checking the ohm's on it with a volt meter. Also make sure you check your air filter, that is something that I overlooked when I was trying to find my problem and my cone filter was completely black... Definitely not ok. Changing that out made a noticeable difference.
Where are you located? I would say you could stop by and I could try to help you with it but I don't even know if you are in the same state as I am. I am definitely not the most knowledgeable Z person but I have attempted and accomplished and learned a lot with this car. Hope this helps...