You're in good hands but let me know if you need some photos.

Personally, the first thing I do is to take to 4 bolts out of the relay board and clean and save all the parts and labels that fell off the playfield. It's kinda fun too.

Get a switch adjusting tool and keep it handy. you will need it.

You can get in trouble if you try adjusting things without knowing its purpose. Try to understand the schematic. they are tough, no doubt but with HowardR and the other great people here you will get through it. They know the sequence of how the machine works from the schematic. HowardR knew where the Relay coil was just from the schematic. All I guess is what I like to do is when they answer a question for me, I look at the schematic and try to understand how they figured it out. Then that's when I realize you EM people just understand it so well, but it just makes sense after you follow their advice and look at what they are seeing from the schematic. I just got my Gulfstream working great after disassembling and cleaning every stepper unit, then suddenly a relay would not relax. I'm thinking there should be nothing keeping this coil energized, then after a couple nights I remembered a relay can get magnetized and hold on to itself. took that damn thing and cleaned it and all is good. It's Friday, I'm on my second and now I'm just rambling.

Dusty? well I guess a little, as long as its dry. a properly adjusted switch will have the 2 blades slightly rubbing against one another. This will keep the contacts clean and dust free at the point of contact. after adjusting and Flex stone (If needed) I like to clean the contacts with a strip of business card material or sim. dipped in alcohol. I'm sure you've read that a lot around here. Are your stepper units operating smoothly when you manually operate them? If they are gummy from old WD40 and not operating properly they will cause the helpers around here (like Howared3 and others) more time to figure stuff out. including the score reels as they are also a stepper. They need to work well. slide them out and make sure the switches are working as they should if not the score motor will run continuously because the EOS switch in the score reel isn't telling the score relay to de-energize thus telling the score reel to stop.

Are the springs that pull down the drop targets fulling pulling down the targets? There are two switches for each drop target. Are we sure the springs are dropping the hit targets to activate the bottom switch? I'm a bit laze and haven't fully read your issue but when I worked on my Capt. the drop target box needed some TLC. Here is the drop target relay with the white and blue wire that goes to the drop target coil. Drop some targets, Press on the relay. See if it fires the drop target coil and raises the targets back up.

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And many times, there will be two wires going to a lug. It's just a convenient way or place to attach two wires to keep the load or line going. Just like a schematic will show.

Mine has that bar also. Those are the contacts. That type has more surface area.