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If the tank switching valve isn't working it will prevent the pumps from energizing. I would encourage you to replace the tank switching valve since you know it needs to be replaced anyway.
if you jumped the red wire on the relay you dont need to turn the key. did you check both tanks that way?
if both pumps dont pump then it could be the switch.
You do not need to drop the tank to replace the switching valve. There are 3 bolts holding the cover on over the switching valve and two bolts holding it to the frame. Get yourself a length of fuel injection rated rubber hose and good quality clamps too. Take a before picture before removing for reference. I've seen guys screw this up time and time again. You can also directly energize each pump at the connector with a fused jumper wire to quickly test your pumps.
what about the switch in the dash, vile?