Fuel delivery issues

Just a note... before you go to the trouble and expense of replacing fuel lines,

• disconnect the line at the tank, and at the fuel pump and literally blow into the line. if you can blow air through the line it is not plugged.
• next do the same at the tank, hook up a few feet of tube to the fuel pickup tube to the tank and as someone else already mentioned blow and see if you hear bubbles in the tank. There is a possibility that the pickup is not bent down enough, I saw a Factory service bulletin once for a different car that told mechanics to bend the pickup down as some factory made pickups were not at the correct angle.
• next hook up a short piece of fuel line to the inlet of the fuel pump and submerge it is a can of gas, prime the carb and see if the pump will pull fuel from can and feed carb once you get it running.
• next be sure fuel lines and filter are free to flow by disconnecting both ends and blowing
• check the floats and needle seat is free to move, attach piece of fuel line to carb, be sure the float bowl is empty and blow into it, if you can, the needle is not stuck to its seat

ON A SIDE NOTE... are you sure you have the right fuel pump, the wrong one might not be hitting the eccentric.

Any chance the eccentric is no longer in place?