Second Speedy Builder's comment about making a witness mark.
Removing the 3 screws should let the backplate come free of the chuck, but don't forget that if it has been fitted properly it will be a very tight fit. With crap and gunge could have become "glued" together. Giving it a good soak in wd40, paraffin, w.h.y. and a tap all round the edge with a mallet will help free it.