Would you be friends with a murder convict?

So this is going to be long. But my brother had a childhood friend who used to call me his elder sister. He had an very isolated childhood. He was a very angry child and once tried to kill his sister with a knife, so the parents instead of giving him counselling, they gave him a separate apartment. He used to be all alone from 3rd grade. His parents visited occasionally.
So once all the loniness got to him and he became really mentally ill. When his mother visited him alone once, some fight ensued and he killed his mom. He ran away before his dad / police arrived. He was I believe 18/19 when this happened. However he ran away and kept calling my brother so the police took my brother along with him to capture him. It all happened a long time ago (5+ years) and I quite frankly forgot about the whole thing.
Today out of the blue, he has been calling me, facebooking me and whatsapping me. I have not returned any messages or calls. He has done his jail time.
One part of me goes out for this child who had no one since he was in third grade and even now am sure people are shunning him. The other logical side says he has got my family into trouble once so I should aboid at all cost.
What would you do? 

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