[shorod]

It sounds like the part that had the black colored power inside is the Carbon Canister, aka Charcoal Canister. His description of the part is mostly correct, but it is part of the emissions system in your car. If there is emissions testing where you live your car may not pass the testing. I don't really think the damage to the canister would explain the stalling. That being said, I think you should find a different shop that can properly diagnose the system.

Did the shop you took your car to check the fuel pressure at the fuel rail and determine that to be low before taking the fuel pump out and attempting to clean it? Did he replace the fuel filter first? Did he pull spark plugs and check the condition of them and the wires? Did he inspect the few vacuum lines that your car should have as well as the intake air tubing for cracks, splits, or holes? Did he check the charging system voltage at idle?

-Rod