Q. My dog has fatty tumors that are not cancerous. Should I have them surgically removed?
A. It depends if they are bothering your dog in any way or not. If they don't compress other structures and don't pose an obstacle to movement I would not worry about having them surgically removed.
However, if they are bothering your dog, then you should consider having them removed.
In any case, you should have your vet confirm that they are fatty lumps and recommend the best course of action based on his assessment.