You removed one of the relays permanently? The 87 & 30 circuit is the fan power, no? That is not the way to do it. I'll bet that wire gets hot. That also removes the ECM from the loop. My suggestion is put it back together the right way and start again. Unless I misunderstand what you did.
This is how you should have wired your extra switch (click):
Simple completion of the low amp trigger circuit by completing the ground.
Basic relay diagram.
