Other Fuel System Tank Mounting problems of the 2012 Nissan Quest

Multiple times got into the vehicle (no specific time this would occur) and attempted to start the vehicle. The vehicle would start as it was in the park position. When the van would be placed in reverse it would engage and backing up would occur. Once then the vehicle was placed in drive, the vehicle would then shutter and then stall out. This did occur twice while driver was pulling out, and the vehicle stalled in the middle of the road. After multiple attempts the vehicle would finally start. After the first two times this occurred, we started documenting the amount of fuel in the vehicle and each time this occurred it was on or below a quarter of a tank of gas. Since keeping at least a 1/2 tank of fuel, the vehicle has not exhibited this behavior. The vehicle was taken to local mechanic to be looked at. After assessing the vehicle based on our description, the mechanic stated that the vehicle needs to be taken to a Nissan dealer due to being a TSB out on this year and model of vehicle. Prior to this issue, the vehicle would shutter after being stopped in drive (stop sign, pulling out moving forward, or accelerating up a hill). Testing was done, and code p0500 was listed. We had the mass air flow sensor changed, new battery, and up /lower manifold gaskets changed, in attempt to fix this issue. After each of these services were done, the vehicle did run somewhat better, but still occurs off and on.