Well, if you put a chameleon in a box of mirrors, he'd go to sleep. It would be dark inside, because it's a box. No light. No light = no reflections. Sleepy time for chameleon.
The light would not travel backwards, but you wouldn't be able to see the light even after you got wherever you're going. You'd have to wait. Patiently. Like good little boys and girls.
I am specifically qualified to answer that last question, as I am a Clinically Diagnosed Chronic Liar. The correct answer is "maybe."
1. I don't remember C-ing a box made of mirrors in my life, and I am a UncleZombie.
2. No you will need to turn it around so it will travel with dark speed.
3. Yes, you don't ! Did I tell you that once I...