Thanks for the 2-3 year old posting on this. Guess we're #3 to admit it.
Many months ago met a guy with an 89 7MGE NA Auto in my credit union parking lot. I'm in the local Supra scene, but MK II, give him info. Get a panic call about removing the harmonic balancer to fix a BHG (bubbles only, not milkshake) I was WTF, I'll be there in an hour (Looking at Haynes, that is one of the steps, ugh). He'd removed the intake and exhaust, so we pull the head, give him directions on cleaning it. A few days later return to put it back together.
I'm a 5MGE guy, mostly the same but some differences. And being management I'm not about to crawl under a car unless it is my own. So the brown ground wire combo went to the starter just like you. Two sets of ground wires to the same bolt? Never seen that before. He said he had a ground connection on the starter and I didn't think twice.
Connect battery and fuel pump control relay is buzzing,
With some minor timing fiddling (I've never gotten a dizzy in right the first time) we got it running with zero accessories (cooling, alt, etc, but pumpkin puked out some fluid).
Did research and found this thread. Buzzing fuel pump relay.