PB tangs are notoriously aggressive, I bet when you're not around, he's giving the Lipstick tang some chin music. In that tank, they'll get their issues sorted out in short order. I will offer a word of caution about all tangs, that spike in their tail is razor sharp, they didn't get the name surgeonfish for no reason.
Bloodworms are a freshwater fish food and some people can have an allergic reaction to them, I am one of those people. Marine fish should eat marine foods as should freshwater fish eat freshwater foods.