Bulbs will not be separately fused - a single fuse will protect the whole assembly & both lamps.
Fact that light *was* flickering suggests original poor connection.
Fact that bulb no longer works suggests either the bulb has now blown or "sprung" connection possibly ended up further away from bulb rather than closer to it - try again.
Only other reasonable possibility is a loose wire somewhere inside the fitting - if this then most probably onto screw-in lamp base.
However, by messing around with the connector spring you have changed the symptom - this strongly suggests that this is where the problem lies.
Continuing good luck...
Peccavi
February 2009