302 is under Miscellaneous not Infringement Notices?? It seems pretty clear that it is referring to documents relating to the aircraft e.g. certificate of registration, airworthiness certificate, log book, maintenance release, POH etc. It is drawing a long bow to suggest that includes flight planning information for a particular flight. Maybe a court could be convinced, but I think they would be wrong and this is not the intent of this section.
Is there any section that sets out the form a flight plan or fuel plan has to take, or that it has to be in an enduring form? "70 miles, 120 knots, 40 l/h, 160 litres on board... that ought to cover it" is a fuel plan. You can do it in your head, and people are doing it every day for private flights. It's hard to produce evidence of this after a flight, apart from the fact that you didn't run out of fuel.
296J seems to say that even if the matter can be dealt with by an infringement notice they don't have to, they can take you to court instead - but I'm not sure of the relevance?