Should I divorce my husband?

I have only been married five months and I'm already miserable. My husband started acting really odd almost immediately after we married and his doctors have diagnosed him with schizophrenia in conjunction with a depression. Well about two months after we married he would get into a schizophrenic episodes and started to tell me all of the rendezvous he had when we were dating. We dated four years and I thought we had a monogamous relationship, and he told me he cheated on me with three women!!!! Not only is that making me angry, but he has told me something very scary. In another episode he told me that he pretty much molested his younger cousin when he was about 18 or 19., he told me she was maybe 8 years old and liked him and he would make out with her. I find that to be incredibly disturbing. I'm really disturbed by all of this and fell stuck. I believe in making a marriage work, but come on I didn't know that our relationship was based on lies!