I checked out the file and found that if you un-hide the middle part of the ball (which doesn’t need to be unwrapped), scaling its UVs will make the larger pieces more blue:


It doesn’t have to do with the absolute size of the islands but the size in proportion to the other islands in the object. To get everything even closer, try selecting everything and using Average Islands Scale. If you want to scale the eyes and mouth up a little bit after that to give those more detail, that’s totally fine.