So I had some time to play with my rear drivers side brake. It seems that there is no juice from the bleeder, and from the tube that goes over the caliper from the other side.
I have already decided on a complete brake overhaul, so I will first suck the system dry, then replace as many lines as I can. I will agree with Dave T that if one side is bad I can assume the rest is garbage.
The only question now is which vendor do I buy from?