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Here is a link to help identify mites/lice. http://www.the-chicken-chick.com/2012/08/poultry-lice-and-mites-identification.html

If they are not mites/lice,look at bed bugs as your description fits them also(reddish-brown color,oval/flat,approx 1/4" or smaller,lack wings so they crawl) as they too love warmth/moisture/warm blooded animals and anyone or anything could have brought them into...

Sorry i was thinking brooder not incubator.

Have you actually seen any bugs on your chicks? While they could be mites/lice,what i would suggest is to remove and disinfect brooder along with all feed/water dishes,then place chicks back in and see if bugs reappear. Check your feed make sure no bugs are in feed/feed bag.