OK. Excellent. So we know the solenoid isn't switching. And for now you can just drive around like you only have one tank.
Note that some wiring diagrams show the solenoid switching the sending wires, and some show the dash mounted switch switching the sending wires. I don't know which applies to what years or models.
As for the gauge, I have one that will not move off full for the first four gallons, and then falls 1/8 tank per 1.5 gallons until Empty. I have a second gauge (in the blank instrument slot where the clock goes) for the other tank. It starts falling off of Full right away, and falls 1/8 tank per 1.5 gallons to Empty, at which point you still have four gallons left.
So, yes, some of the gauges are idiosyncratic. By my experience, you could put four gallons in there and still maybe not move the needle. After that though it should show up on the gauge.