On the fuse box, there is a fuse in the position of 'heated seats' (which of course you don't have) have you checked it? think it's a 20 amp. Won't run if it's blown.

When bridge the red to red/black you're just putting permanent feed to the pump, as you did by wiring directly to the pump.

As I said in the other post, the relay is triggered via distributor hall sender signal via the ignition or fuel ecu (can't remember which)

Need a wiring diagram really as it's obvious the relay isn't being triggered.