I tested the old relay as you described everything clicks, I performed the visual inspection all the connections are solid, and I also tried a new relay.

I've read a lot of posts and links concerinig starting troubles; fuel pmps, relays, filters my car has been tested for a bad pump relay, relay is fine, the fuel pumps are fine too, I have spark, and enough gas in the tank. Turn the ignition half way, the relay clicks but the pump does not energize, ...