1. No. it is not bad to be good. The goodness that is in you, what is its quality? What is its strength? Can it change a bad man to become good? It is better to be good than to be goody-goody. A goody-goody person appears victorious and respectable. But he has no inner strength/grit or determination to remain good always. He behaves extremely well in order to please people around him. That behavior is not approved; if something wrong is going on in front of him he closes his eyes. He does not want to resist it or fight against it. Such a person is called goody-goody. He does not have the capacity to fight against injustice.
2. Swami Vivekananda used to say that If you want to learn anything from Krishna it is that - good should be equally aggressive as evil. Please read Bhagavad Gita chapter IV, Sloka 40, in which he says, “Never my son does a doer of good come to grief.”
3.Holy Mother Sri Sarada Devi was good. But when a mad person by name Harish chased Her, she was able to put him down and slap on his face, and in the process changed his course of thinking. That is the strength of goodness.