A fan just blowing at a 1kw light isn't going to cut it in that small a space....You will need an air cooled hood!!. If your box is air tight, you won't need a carbon filter because your not removing air from the box.Your not going to add air either because you will be injecting CO2. You only need a fan to cool the bulb, no intake fan, no exhaust fan. Like I said before use your fan (if you already have a 6", use it, but a 4" will do fine) to push air through the hood, DO NOT PULL!! or you could have odours outside your box. Hope I've explained it clearly this time...but if not, I'll keep at it until you understand...
Fuck..forgot to say...you'll need a small oscillating fan to stir up the CO2, someone already mentioned this, since carbon dioxide is heavier than air it will pool at the bottom of your box.