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select the mentioned area with the quick selection tool or use the magic wand tool. try to find a good adjustment to cover the purple as perfectly as possible. after completing the selection rght click on it and copy it to a new layer. place the new layer (containing just the purple part) over the original one on the layer palette. go to layer menu->new adjustment layer and apply a color balance adjustment layer.  checkbox saying "use it to the previous layer" or sth like that should be selected. now try to achive the color you want by adjusting the color components.

repeat the hole process to the other areas you want to change.