[adogand6kids]

So for corner bass traps is it better to use chuncks than to just put a panel in
The chunks will give you absorption to a lower frequency (I couldn't tell you how low). The panels take less fiberglass and are a bit less work. So, the answer depends on how much money and time you have to invest.

Since I don't have tons of room in the corner would it still pay off up front?

I think I know what you are asking here - and Yes, corner traps up front behind your mains will help. You may need to move your mains forward into the room a bit.

Would I benefit by putting say a 4" thick acoustic panel on the door that leads into the room. Look at the 1st pic - brown door?

Do you want that 4" acoustic panel to be a bass trap? If so then the answer is no - it won't be a very effective bass trap. Do you want that 4" panel to absorb sound coming from the front speakers so it doesn't bounce back - then the answer is yes, but you don't need the panel to be 4" thick. You would do better to use 2 panels each 2" thick.