The plugs cant be wet from fuel if the fuel relay isnt energising the fuel pump.. Even the cold start injector needs the fuel pump to prime it
Or does the fuel relay click to prime, but then doesnt run when cranking?

Have you checked the voltage to the coil when cranking? I know you said you ran 12v across it directly but if the wiring is sending the voltage too then the problem is obviously going to be the coil (nice easy/cheap fix!).