That J3 14 BR ,suggest you test that connection for back feed. From blow up of relay inside wiring appears to not be connected to any thing else. To be sure put 12 volts on J3 and then see if voltage shows up on other relay connections
So if that connection on the relay is not connected to anything else (confirmed with testing as mentioned) then I can connect that J3 Brown wire to the J2 blue wire, and get my ignition in RUN and START with no backfeed?