If I change my worldspawn will my spawn chunks move?
Solution 1:
Yes, the spawn chucks will 'move' to the new world spawn point. However: "Although spawn chunks are usually kept loaded at all times, new spawn chunks won't be loaded by this command until a player moves within range. Compasses (which in Minecraft point to the world spawn rather than north) will also not update to the change until the world is reloaded."
Source: http://minecraft.gamepedia.com/Commands#setworldspawn
Basically make sure to travel to the new location, and reboot the game for good measure.