Starting issues

Ok started with all original engine except valve cover and air cleaner . The car was having electrical issues and that has been fixed . I replaced ballast had the carb rebuilt ,oil adapter was leaking had that fixed . Timing set at 10 degrees before TDC good spark . Car is now not starting right up takes about 20 seconds when cold but once it starts you just have to turn the key and she fires right up.
Could this be a fuel pump issue like I said earlier is the original Fuel Pump.