Ah, that's a bit different, having seen the photos.
The pump looks like a good spec, so provided it has water to take (as Henchard says), and as long as there are no blockages, it should be fine. What actually tells the pump to turn on and off? Is there a pressure switch somewhere near the wee blue tank perhaps, or one internal to the pump?
One thing that concerns me a little is the inlet pipe to the pump. It's nice and short, but is that a 15mm valve on the outlet to the tank? Couple that with the non-return valve, if that's what it is, after the blue plastic section and I think you may just have too much pressure drop in the pump suction pipework.
If this is the case, the pump will most likely be quite noisy and the flow will be poor. If so, try gagging back the outlet valve to very nearly closed when the pump is running, and see if the noise disappears. If it does, that points to a restriction or blockage in the pipe between the pump and tank.
Has it ever worked well to your knowledge? (i.e. has the performance always been poor, or has it deteriorated over time?).