When you set up your experiment with the lights still on, the reflected image of your first tea candle looked like a second tea candle located somewhere behind the transparent panel.
When you placed a second tea candle behind the transparent panel to line up with the apparent location of the first tea candle’s reflection, you should have noticed that both candles were in exactly the same place relative to the CD case’s transparent panel. This phenomenon is known as mirror symmetry. When you change the position of your first candle relative to the CD case, its reflection changed its relative position as well, since the reflection you see is a mirror image of the real tea candle.
Now here’s the fun part: when you lit the first tea candle, the second candle behind your transparent panel also looked like it was lit. So how come?