When I removed the ceiling fan I see Blue/White/black/White
Sorry I misread that as
black/white/black/white.
Your wiring must be in conduit, not cables, correct?
In the ceiling you have a black wire and a white wire passing through the box.
You have a blue wire and a white wire to which the ceiling fan was previously connected.
In the switch box you have a black wire and a white wire passing through it.
You have two blue wires, which are connected to the switch.
Are the above thing correct?
Are there any white wires in the switch box?
You said you ran a new wires from the switch to the second set of lights. Where did you find a neutral if there is no neutral (white) in the switch box.
My dilemma is, if there is a hot black and a white neutral running uninterrupted through the ceiling box and a blue switched hot and a white neutral running to the ceiling for the fan, where did the white neutral for the fan come from. Also why run a second neutral for the fan, why not just use the one running through the ceiling box?
At the switch box, one of the blue wires would be going to the ceiling, the other blue would be bringing power to the switch. Where did the other blue come from? I there is a hot black passing uninterrupted through the switch box why not just use it, why run another blue to bring a hot to the switch.
Can you post a picture of the wiring in the ceiling box and in the switch box?