Is the RO unit a smallish thing for the kitchen? It is not whole house, I presume. But if it is, say so. That would be way different than a typical home RO system.
I have been thinking of getting a small RO. I would get one with a little pump. They come in two kinds that I have seen: the permiate pump uses water pressure to power a pump to boost the pressure to the RO, and the electric pump models have electric pumps, :-)
Is there a problem with the well other than your RO is not working right?