Quote: Blue must be inherited from one or the other parent, and unless the parent is white or completely ground colour (self (solid) silver, red or buff), it WILL show. Blue is a gene that causes black pigment to be diluted (although sometimes only slightly--and it can be difficult to know that the bird is blue rather than black). Anyways, assuming that black is black and not dark blue, you cannot get blue offspring from the black X silver partridge (unless the silver partridge is also blue). To get splash, both parents must have blue.
Can you show us what you mean by a crooked beak? I never recommend breeding crossbeaked birds. It is not always genetic, but it can be, and is a bad trait to pass on.
I would not worry about breeding a broken toed bird or one with any fault caused by obvious injury.
Can you post a photo of the bird with the tilt in her neck...do you mean she has had crook/wry neck, and has lingering effects?