If you can take about 5 minutes to watch this video describing stepper units. It's not my video but quite excellent:
Steppers are notorious for being neglected over the years/decades. The main trouble with them will be the old lubricants which have fossilized and turned to glue, gumming it up. A gummed up stepper will not step up or down properly. The fix is to disassemble the stepper, clean out the old lubrication and apply new lubricant. As a general rule, only metal to metal rotating parts should have lubrication. No nylon parts or (especially) solenoid plungers get any lubrication at all. Leave those parts dry.
Once properly serviced, a stepper will be very reliable and only require periodic light maintenance.
Me? Like most people hate working on old nasty crappy looking dirty things. Many of us polish stepper parts while they are apart and take a lot of pride how they look when done.
I'd bet my bottom dollar all the steppers in your Space Mission will need to be disassembled, cleaned, re-lubed, reassembled and (if needed) adjusted.
The ones dealing directly with the reset sequence are all 16 score reels and the bonus stepper, located under the playfield.
Score reels are pretty easy but 16 of them are a PIA. If I were to only disassemble them, replace lubrication, reassembly and switch adjustment then I'm looking at about 8 hours of work. But I like to clean frames and other parts so I take a lot more time.
My general score reel work flow is:
1. Overall inspection for burned coils or anything obviously wrong. If parts are needed I call Steve at Pinball Resource and order right away. The 10's and 100's reel on player 1 always get the most workout so I pay particular attention to those.
-->I don't want to do 16 reels again anytime soon so I always order new solenoid sleeves from PBR before I begin.
I'd also order a point adjustment tool and point file right off the bat before you begin.
2. I take TONS of photos of the score reel solder connections from many angles. Closeups, mainly. That is for references when wires fall off due to cold solder joints.
3. I work on 1 score reel at a time. I carefully slide it out of its bay and gently lay it down circuit side up being careful not to put undue stress on the wires/connections.
4. Disassembly. More photos as I go. I try to keep the switch stack together, and tape around the switch stacks to keep them together while they are dismounted from the frame.
5. I clean all the various parts. Old lube removed, parts polished. I wash the plastic reels themselves in a sink with a toothbrush and water with a bit of dishwashing soap mixed in. Being extremely careful NOT to touch any of the numbers with my fingers, brush or wipe. I shake the water off and follow up with a compressed air blast, again avoiding contact with the numbers.
6. I inspect the numbers on the plastic reel and carefully touch-up defects with a black permanent Sharpie pen.
7. Some reels have PC boards with contacts. I clean those PC contact pads using a rag and alcohol.
8. I reassemble using as little lube as possible. I use white lithium grease where necessary and others use "SuperLube".
Every score reel gets a new solenoid sleeve.
9. Switch adjustment. **It is critical this is set properly** see the animation I posted for reference. If the actuator wire/arm is not moving the switches properly then that is usually due to improper switch blade tension acting upon the arm. It's a careful balance between the switch blade tension against the return arm spring. It's not that difficult or rocket science but knowing that pressure balance exists can prevent some confusion and malfunctions. If you find you need adjustment with that balance, adjust the effecting switch blade not the arm's return spring. You'll be expert after doing 16 reels.
Be sure the switch stacks are snugged down (Not loose) before performing adjustments.
Instead of stressing behind the machine, I opt to remove the entire back box insert which everything is mounted to. This also relives much of the stress on the harness and solder joints.
You can observe a number of screws around the insert perimeter to remove it.
Below is a photo of some of the mounting screws (Circled in red)
IMG_4444.JPG
Once the insert is out then I place it component side up on a table etc and it is so much easier to work on. I use that opportunity to service all the components on that board, and to clean the "oldness" out of it.
An alternative to removing the insert is to just place the head somewhere glass side down. But you'll always be leaning over it and reaching in. Too much stress for me!
In your case, as a pinball noobe I would limit disassembling to only the 16 score reels and the player unit (The large stepper with a zillion contact rivets). I'd also -inspect- the other items such as relays, contacts etc.
Regarding the relays (etc) on the board, their switch blades should be already properly adjusted unless somebody has "messed" with them. Initially, I usually tear off a piece of copy paper and fold it over itself about 4 times into a strip about 1/8 X 3" long and get it wet with rubbing alcohol and gently run it over the switch blade contacts. I do it with the machine unplugged to prevent spark/flame.
Some switches may require a more aggressive cleaning/filing but the paper and alcohol clears up 90% of dirty contact troubles.
My first thought when I viewed your initial video was the score reel switches are not operating properly, among other things.
Score reels, along with the bonus unit -must- operate properly and reliably for any hope of reliable resets.