What is the ruling on posting clean anime pictures on Twitter, and what should one do if his family wrongs him and calls him crazy despite his good treatment of them?

There is no harm in publishing anime pictures as long as they are free from Sharia prohibitions. As for dealing with abusive relatives, a believer should be kind to them and maintain ties with them, even if they cut him off or abuse him. For whoever maintains ties with his abusive relatives, Allah will aid him against them. The Messenger of Allah (peace be upon him) said: "If you are as you say, then it is as if you are feeding them hot ashes, and you will continue to have support from Allah against them as long as you persist in that." And one must respond to evil with good, as Allah Almighty says: "And not equal are the good deed and the bad. Repel [evil] with that which is better, and thereupon the one whom between you and him is enmity [will become] as though he was a devoted friend." It is also recommended to supplicate for their rectification and for the reconciliation of hearts.