Since it will start with the key on occasion then the resistor pellet in the new keys should be the correct value.
I had issues with #1490 doing the same thing and it was the neutral safety switch in the shifter assembly.
Not Stock.
From the Valve Cover, 90 Degree Grommet, Metal Tube, Straight Rubber Hose, Inlet Bell...With Two Clamps On The Straight Hose (Not Shown)....