Hesitation/Stall question

Are those hoses fuel rated?

The following only covers the empty fuel filter

If your fuel filter is running empty you have one or more of a few problems.

1. Float level
2. Float sticking
3. Fuel lines are getting hot enough to vaporize the fuel
4. The fuel pump is malfunctioning
5. There are restrictions in the fuel lines
6. Any of the hoses connecting solid pipe to solid pipe are collapsing
7. The sock filter on the fuel pickup is clogged
8. The venting of the gas tank is clogged
9. There is not enough fuel in the tank
10. Pickup is bent
11. The gas cap is non vented and it should be a venting type (I don't know if any A body cars ever used a vented cap)

As for diagnosis...
Start at one end and start checking.