If the design is the same as it was on the Carlton then the problem is that instead of using shims to set the preload on the pinion bearings GM used a 'crush spacer'.
In the factory the pinion is installed with a soft metal tube (the crush spacer) between the bearings on the pinion shaft. The input spider is then pressed onto the splines and the retaining nut is done up tight. Initially the crush spacer holds the bearings too far apart and so the nut is then done up in small increments to crush the spacer until the bearing pre-load is correct.
To fit a new seal you need to remove the input spider. The splines on the input spider are very tight. When you put the spider back on the stiffness of the splines is such that you cannot easily tell when the bearings are starting to crush the spacer. The nut needs to be carefully marked and the number of turns taken to undo it counted carefully so you can wind it back to exactly the same place when it goes back on.
Several years ago I took my Carlton for an MOT and foolishly accepted their offer to fit a new seal. When I went to collect it they were keen to tell me that they had had to use their biggest hydraulic puller to get the spider off but looked blank when I asked if they had used a new crush spacer or been able to mark the nut and re-use the old one. I drove 12 miles to work and the diff was roasting hot

. Drove back to the garage and they agreed it was scrap. They replaced the whole diff for me but the episode left a sour taste.
