This response is generic, as I do not have experience with your model car. The noise you describe could be from several sources, but it seems likely to be ring and pinion. These appear from the Moss site to be third member style differentials, so testing and rebuild on the bench (instead of under the car) would be available. The thing is assembled in a detachable front part of the housing. The things to look for in the potential replacement unit are wear pattern where the teeth run on each other, how serious the wear is, and how bad the bearings are. You can find online pictures of suitable wear patterns on the gears for comparison. I suspect that you have a factory set pinion depth (distance from back of pinion gear to center of axles). This measurement is set by shims under the rear bearing on the pinion gear. Wear on the pinion bearings can affect pinion depth and the proper parallel alignment of pinion teeth with ring gear teeth. Bearing slop here can cause the whine you mention. If these bearings are bad, they can be replaced by a machine shop with a press, using the same shims in the same positions. The other dimension is called lash, or the distance between a pinion tooth and the tooth it is about to engage on the ring gear. This is measured with a dial indicator against an accessible tooth on the exposed part of the ring gear, with the pinion held fast, while rocking the ring gear to measure how far it turns when a tooth engaged with the pinion moves thru the space between two pinion teeth. This is adjusted with shims under the two carrier bearings, which control the side to side position of the ring gear (by controlling the side to side position of the carrier). These shims are typically in the same thicknesses and in the same positions for a replacement ring gear as they were on the original. These are the things to think about is assessing suitability or your old potential replacement third member- Are the bearings tight (not sloppy) and is the lash within limits.
Problems arise from loose bearings (pinion or carrier) and from excessive wear on the ring/pinion mating surfaces. You should be able to get a good idea about the conformity of this stuff from manipulating the system on the bench and any decent mechanic shop can check up on you. The finicky bit on replacement of ring and pinion (must be replaced in sets) is pinion depth. Each new ring and pinion is run together at the factory and the optimum pinion depth is determined by a machine that finds the least noisy depth. The pinion is then engraved by a handheld tool with the recommended depth for the set. You then use a specialized dial indicator the mount of which is adjusted to be in the axle center and the probe of which is adjusted to touch the flat rear foot of the installed pinion. You then compare the measurement you get to the inscribed depth to figure out how many shims of what thickness you need to add or subtract. Is this facet of the job a pain in the patoot? You betcha. A work around without using the weird dial indicator is to use some arithmetic on the inscribed depth specs of your old pinion and your new pinion and add or subtract shim thickness to accommodate. I don't suggest you do this yourself, but explain only to give you an idea of what is involved.
An eyeball test for gear wear is that the tapered edges of the pinion teeth that contact the ring gear will gradually get get more knife-like as the faces of the teeth get worn down. If you see this, the gearset needs to go.
Bob