Ramakrishna Mission Ashrama @ Belgaum

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.

Religious History says that both Sannyasins (monk) and householders have realised the Self. Only it is easy for a Sannyasin, because of the non-botheration of the family. He can spend more time in his spiritual practices. But if a householder puts the necessary efforts, he also has the possibility of realising the Self.

Your question is very vague. However, there are four main paths in Hinduism for the realization of God. They are - 1. Jnana Yoga (the path of reasoning), 2. Karma Yoga (the path of action in the spirit of service to God), 3. Bhakti Yoga (the Path of Love for God), 4. Raja Yoga (the path of Meditation).

Do not bother about how the others speak of you so long your conscience is clear and you are on the right path. After sometime they will come round and have regards for you. Truth takes time to get appreciation.

It is a very vague question. However, any work done with a spirit of service or in order to help others without any expectation is worship. It may be rituals or serving others.