from the images I don't really so much fluid leakage, I have found shocks that leak leave a lot of fluid marks on surrounding structures, which I don't see here.
The time old test is to actually be on the outside and give the car a hefty downwards push, shock absorbers should dampen any oscillations, ie the car should return to its normal position after an upsetting body push in one possibly two motions only and it should be reasonably solid and delibirate motion that the car does returning to its neutral position....any prolonged oscillations and wishy-washy motions whilst returning to its neutral position is an indication that the shocks are "gone south",
I have actually seen a workshop attach a sensor to the bodywork near the tyre and then a manual push down, the sensor measures the oscillations and G-force that it undergoes during its recovery phase to advise if the shocks are gone.
However, the pics don't tell me enough, but if there is evidence of oil in the wheel well area, on the surrounding suspension components and on the shock absorber itself, then it would be safe to say that the shocks require replacement.