With that serial # I would think that is a very early Remington 1903. If all original with a RLB marked stock it is VERY collectible! Guns that came back from NZicon are often in very good condition. I have a NZ marked No.4 MK* Enfield that is favorite Enfield. If it was my gun I would find another 03 to shoot and make that gun a safe queen. JMHO Please post pictures.