Ok so we need to determine where the 12V is going missing.
The fuel pump is powered from the fuse box in the engine bay with the Circuit Opening Relay.
First you need to determine that 12v is available with the key in the ON position to pin 2 of the relay.
It appears you have continuity between pin 1 of the C/OPN Relay and the fuel pump however still good to check it. Once you've done these checks come back to me and we can move onto the next bits to test.
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Just a bit of background on the system.
The pump will only run when the key is turned to START or the engine is running and the ECU controls the C/OPN Relay with the FC pin. It does not prime like other cars when you turn the key to ON.