the -10 is the only 1096 schematic I have.
the full model number is on the plate on the outside of the cabinet below the handle ... if it's there ... and if it's right.
the differences between the versions of a model are usually minor ... except for the wiring between the reels if the type of game is different (e.g. jackpot-only versions had fewer symbols, blank spots on the reels, and higher payouts while fruit games had lots of smaller payouts and no blanks). Looks like you have a triple bar jackpot-only style game and the -10 is a fruit game, so the schematic stuff for the reels and connections to the payout unit won't match.
the coin unit is the thing in your first picture that has the white ratchet/gear. There should be a label stuck on the unit frame someplace. The wipers are on the other side.
post a pic of the wiper side if you aren't sure.
you can manually step the unit by pushing in the plunger on the bigger coil and letting go. The wipers will rotate one ratchet tooth each time until you get to the "top", which is where the flat spot on the ratchet is. You can reset the unit by pushing in the plunger on the smaller coil.
the wipers should step up and whizz back to reset. If the wipers drag/stall when resetting, the contact plate rivets needs cleaning with something like isopropyl alcohol and a scrub pad.
you can look on youtube for "bally stepper units" for vids on cleaning. You shouldn't need to take the thing apart since the ratchet side looks pretty clean.