Gerry,
If the filler metal cert does not state ERNiCrMo-3 you will have to list the chemical composition of the AMS material on the PQR and then utilize matching compositions for the WPS.
Also, if you don't have an SFA specification you don't have an F number either.
You are better off using the ERNICrMo-3 as such. Or for that matter a SS filler.
Heat treatment is a consideration of material properties 'as qualified', not service related per se.
As for the 718, this is an age hardening material and is sometimes stress relief heat treated. You need to consult engineering to determine if this is the case.