Missing teeth on the back gear pops up from time to time. Packrat already gave you some ideas for where to find how to repair them.
Unless it was from actual crash damage, those missing teeth are almost always caused from ham fisted people trying to use those back gears to remove a tightly threaded on chuck. They were never designed nor meant for that so they break. For reasons I can't figure out and with the amount of lathes still in use with threaded spindle noses, few seem to even know about a very old machinst technique of preventing those hard to remove chucks in the first place. Those tight chucks are really caused by the threads being very slightly stretched as in any threaded connection, but also by the chuck back plate recess creating a high amount of friction between it and the face of the spindle due to the metal to metal contact. Get the chuck to rotate even by a degree or two and its then easy to remove because that friction is gone. And for any who don't yet understand how it works, those threads only attach the chuck to the spindle, the actual chuck location for both radial and axial alignment are done with the spindles plain register butting up against the chucks internal face recess and locating on that non threaded portion of the spindle. Those are what set those axial and radial alignments so the chuck goes back on in a repeatable and low run out position each time its mounted.
For any lathes that do have threaded spindles, make yourself some thin cardboard washers for each chuck and face plate. Cereal box thin or maybe a bit lighter. Because of the way cardboard is manufactured, compressed and rolled out, its remarkably consistent for its density and gauge thickness. So it won't give you any extra axial face run out on the chuck. Or if you've got any handy, I guess you could use actual thin cardboard gasket material. Whatever you use, cut it in the shape of a washer, just barely under size to the chucks recess and the hole just oversize to the spindles thread and register diameter. If its not obvious yet, that under and over size is real important, you do not want the cardboard to try and fold over on itself at any point or your alignment will be worthless. To prevent that cardboard from picking up air borne humidity and possibly causing any rusting, I'd add a few drops of oil to each of the cardboard faces. What that cardboard will do is act somewhat like a cushion and prevent that metal to metal contact that increases the friction and makes getting those chucks or face plates so tough to get off. Fix the actual cause of the problem and you then won't have the much harder and expensive to fix end result of that problem in the first place.