Stutter start - inconsistent problem

markdubois370

I have a 2011 370z with 144K. My problem is the engine will stutter and skip when I am starting the engine - but this is very infrequent and unpredictable when it happens. At first, the stutter start showed up when the fuel tank was less than a 1/4 tank. On a full tank, or anything more than a half tank - the problem does not occur. Maybe that is coincidental. I was told to replace the spark plugs and coils. I did - but that did not resolve the problem.
I took the vehicle to the Nissan dealership. The diagnostic report showed it "might be" the fuel pump.
I have driven the vehicle for the past week - from a full tank of gas to a quarter tank of gas - without any "stutter start" problems. The check engine light has been on the entire time.
I am confused by this and am beginning to believe that it might not be the fuel pump.
I would appreciate any input or suggestions this forum could provide. If you have questions - I will monitor this post every day and will reply promptly. Thanks in advance for your help.