I don't think I showed a picture of the purple after the first dip. Here are the three skeins:
I undid all the ties on all the skeins and re-tied them in different places and much looser. Then soaked all five skeins in the same pot while preparing two dye pots. This time I heated the water and then poured in the Koolaid mix. (Three packs of Black Cherry for the red and nine packs of Grape for the purple.)
I then added the yarn to the pot. I didn't want to pour the dye over the yarn and have it stick more in some spots than others. I also kept the temperature low before I added the yarn and heated everything together. It seemed work.
When I hung the skeins, they were a true mess since I couldn't tie them tightly and stirred a little more aggressively this time to make sure the dye got everywhere. See the one on the left:
I was relieved to see no more blue spots in my red yarn, and when it was dry, I twisted it up all pretty like:
And the purple? It is much, much better:
One story...two happy endings! :)