Leo -
Before you get too ambitious, run a gauge check. To check your gauge, disconnect the lead at the fuel tank. Ground the lead and turn the key on. The needle should swing to the empty mark and stay there. Remove the lead from ground; the needle should swing past the full mark. If the needle moves as described, your gauge and wiring are OK. If the gauge reads empty all the time, check for a grounded lead; if it stays at full all the time, check for an open.
With an empty tank, the sending unit should read between 0 and 3 ohms. Full, you should see between 88 and 92 ohms. Getting to the pins on the FSU connector is a real PITA. It's a BIG help if you have a piece of tank harness to connect and test from.
I would check the gauge first. It's the easiest. And realistically, if the gauge checks good, then you know your harness is also good. That leaves only one thing - the FSU. Happy hunting!