Here's what to consider:
* Age of the Fuel Pump: A 30+ year old fuel pump, even if it hasn't been run hard lately, is nearing the end of its lifespan. These pumps are known to fail over time due to wear and tear.
* Fuel Pressure: The most important test is to check the fuel pressure. You need a fuel pressure gauge specifically designed for automotive applications. Your car's repair manual will specify the correct pressure. Low fuel pressure is a strong indicator that the pump is failing.
* Fuel Pump Sound: Listen closely to your fuel pump when you turn the ignition key to the "on" position (don't crank the engine). You should hear a brief whirring sound as the pump primes the system. A weak or absent sound suggests a problem.
* Engine Performance: Symptoms of a failing fuel pump can include poor acceleration, hesitation, stalling, and difficulty starting, especially when the tank is low. However, these symptoms can also be caused by other issues.
* Recent Work: If the fuel system was disturbed during the 350 TBI rebuild, it's possible that the fuel pump was damaged or disconnected.
In short: It's highly recommended that you test the fuel pressure before assuming you need a new fuel pump. If the pressure is low, then replacing the pump is likely necessary. If you're uncomfortable performing this test yourself, take your car to a qualified mechanic for diagnosis. Replacing a fuel pump is a preventative maintenance task worth considering given the age of your car, even if the current pump seems to be functioning.