This. Picture sums it up perfectly. Red is your switch leg coming from the switch box. Was capped to prevent shorting. The center conduit, I assume, is going to the light. Those two wires should have been capped individually.
Before you do anything, you could verify this all, by hooking up the switch. In the on position, you should be able to read 120V on the red wire in this new jbox. Once you are sure that power is reaching this part, then you could proceed to put everything together. Hooking the red to the black on the center conduit and tying the common in with the other commons should get power to the light.