Given the observations and previous reflections, it is possible to envisage the following decomposition :
V1 : base shape V2 : rectangular parallelepiped
V3 : revolution shape 1 V4 : revolution shape 2
PartDesign usable tools :
V1 : base shape :
Pad
V2 : rectangular parallelepiped :
Pocket
V3 : revolution shape 1 :
Groove
V4 : revolution shape 2 :
Groove
or
Linear pattern