Humidors within Coolerdors *Noob Question*

I know this is probably a dumb question, but I am a newbie and therefore allowed to be dumb.

I have a coolerdor now to accommodate my rapidly growing collection (thanks for the kick down the slope, guys...)

I have a couple of the small CI humidors that I was using up until now. Am I able to store sticks in those humidors and have them closed within my cooler or do I need to have them open so that the sticks are at proper humidity? Similarly, I have a Fuente Holiday Sampler box in there that is currently closed. Is this okay?

Again..sorry if this is a dumb question but I baby these sticks about as much as I would a newborn so I don't want to damage them. Thanks folks...