In regards to an earth rod, ive just started working with generators especially tncs systems. I have found that an earth rod is used mainly as a lighting protector only and that any faults with the systems go to the star point on the transformer via the neutral. Meaning a rod is not always nessersary just like a ship as you said. Myself I would check all the earth connections and also the pen link at the genny. What is your ze at the genny? is that a normal reading