If you file an ASR then you force an investigation into the matter.
Well it is very interesting how many pilots assume that this new FO is completely right, for all we know he may be totally inept, having less than 500 hours on an airplane is completely normal nowadays (but knows the SOP's backward and forward). Mungo, just try and get a bit of experience before you try to turn into an expert at how unsafe up the other crew member is, you may end up learning something from him.