I'll do what I can here.
I would plan on replacing coil sleeves and flipper bushings at a minimum. Sounds like something is getting hung up and those would be the easiest to replace if there's not a visual cue of a wire catching something or whatever. If you want to test before you order parts, remove the coil sleeve from other flipper coil and put in the sticky one. If that doesn't fix the problem, try the bushing that way. (I've had cracked flipper bushing shafts but it wasn't visible installed.) Steve at pbresource can pack a kit for all coil sleeves you'll need for the game; always a good idea to replace all unless you know they're new. Make sure you use the right sleeve in the right location.. -- If you want to go further, get new coil plungers and links. If you want to go all the way, get flipper rebuild kits. I also got new flipper bats on SF2 because three of mine were cracked. Worth an inspection since you'll need to release the flipper shaft to remove the bushing.
If you don't have coil A-30468 on the ramps, you may want to replace. Mine had never been replaced and it was a factory recommendation.
#3 Not sure. I'll look into it.
Meant to mention: the cars are hard to come by. I read a post where someone used a toy car as a replacement, provided it's the right scale. You just need to drill holes for the shaft. I thought about getting something like this to replace the original with the lights working since it would be a cool mod, and look more like the backglass.