Starting at the exhaust out of the room and working backward.

There is a exhaust vent intalled in the wall which is blown through the sheetrock, venting to another room. Then some duct, then a vortex (pulling), then some duct, then the hood, then an open vent on the side of the hood which is just sucking air. "WHEN" it gets a bit smelly I plan on hooking up a few ft of duct and a 23x6 Carbon filter (of sorts).

My intake is totally passive- has it another vent (outside) and duct work.

You are quite possibly correct that I can not install a filter on the other side of my light. Could you please explain why? Thanks for the help