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