I understand the allure of FI but please take a lot of time reading this section if you decide to go that route. It is very involved and can be costly. The more information that you can take in the better.
Forced Induction - Nissan 370Z Forum
Known problems would depend on year. Some older 09-11 did not have oil coolers, possible steering wheel lock and for everyone the CSC.
Start looking around in the various sections and if you are having trouble searching try going to google and searching like the following:
site:the370z.com Enter search criteria here