What was found
DURING CLIMB, OUT THE CABIN RATE OF CLIMB WAS 1750 FPM WITH BOTH OUTFLOW VALVES CLOSED AND ALL DOOR LIGHTS. UNABLE TO PRESSURIZE THE CABIN, THE AIRCRAFT RETURNED TO HNL FOR MAINTENANCE WITH NO FURTHER INCIDENT. MAINTENANCE PERSONNEL FOUND THAT THE FORWARD ENTRY DOOR WAS NOT SECURED. THE DOOR PROXIMITY SWITCHES WERE CLEANED AND INSPECTED AND TOP AFT LATCH CAM FITTING WAS ADJUSTED IAW THE MM. OPERATIONAL CHECK OF THE DOOR AND PRESSURIZATION CHECK OF THE AIRCRAFT WERE GOOD AND THE AIRCRAFT WAS RETURNED TO SERVICE.