Hey Phil, sounds like a bad pump. Of the 7 wires, the two heavy gauge wires are for the fuel pump, the rest are for the level sender and the fuel tank pressure sensor.
I highly recommend getting the GM Techline eSI(see link in sig) as it's the digital factory service manual and details all testing/repairs/diagrams/etc that you could possibly need. Or at the very least grab the wiring diagrams so you know what you are looking at.