Creed components are things that add bonuses to creed objectives, like temple shrines to the god-emperor and broadband hymn casters.  Luxury quarters only help reduce heresy if you put a high ranking member of the ecclesiarchy aboard, however.<br/><br/>On another note, the way luxury quarters work in my game in general is that you need to use them to house a VIP who helps your mission, which is where the AP bonus comes from.  It's a very good bonus, for the cost, but there's another hridden drawback in that the VIPs who join the crew are likely to be mutiny leaders if morale falls below a critical threshold.  VIP mutiny leaders will be somewhat stronger and more competent than ordinary mutineers, making recovering from mutiny harder.