the spindle doesn't look horrible, scored yes, but you may have to run what you got.
the cap and thrust washer should be resurfaced, a thrust washer should be constructed to replace the material that is removed.
i'd consider a plate of glass and some wet/dry sandpaper starting at 100(or so) grit polishing up to 400 (or so) grit
use a figure 8 pattern and rotating every few passes and using up as much of the real estate on the sandpaper as possible.
a block of wood could be made into a anti slip work holder with a little forethought.
i have used a blocks of wood with scotchbrite glued to it, for extra traction on the workholding, when lapping in this method .
the bearing cap can be done, but special attention should be paid to keeping the thrust surface perpendicular as possible on both halves of the caps