Is this about a relationship with the child or an obsession with the ex?

Although he cheated on me and married the other woman after being together for14 years he continues to  tell me that he loved me and missed me and wanted to get back together not even one month after his nuptials to the other woman all the while concealing the fact that he had gotten remarried. 

Being made aware of his deceit by a friend, I asked him to not come to my house anymore and if he wanted to see our child to make arrangements where  the child could be brought to a public place so there wont be any issues or misunderstandings. He got mad and stopped seeing the child altogether and  begin spreading several rumors  about me to anyone who would listen, friends and even family members. He also claimed that I was a liar, a whore and does not believe that our child is his. Told my family that I had gone crazy and was jealous and trying to distroy his happiness with his new wife. I felt humiliated and disrespected, I emailed him and his new bride to tell him to stay away from me and that I had a gun and knew how to use it. 

He stayed away as I asked by continue to taunt me via email until I blocked. Everything was fine until around fathers day he showed up at the childcare center where I work and our child attends aftercare demanding to see her. Knowing the situation, my employer turned him away. It would take another six months until I hear from him again, two weeks after our child's seventh birthday who should come knocking at my door at10:00pm? Him, I didn't open the door. 

A few days later while reading the newspapers I saw his wife's mog shot, she was arrested for domestic battery on him. Since then he has called my house numerous times always seems to be a few minutes after I got home. I finally had enough I emailed a picture of the child to him and had the babysitter called and put the child on the phone to speak with him. The conversation lasted less than a minute and he didn't even bother to identify himself. 

A few weeks have passed and I gave the child  permission to give him the number to an additional phone line that I have on my phone and texted the number to him in case he needed to get in touch with her to do it directly, he still has not call but has given the number to his older children who called my child at 10pm and proceeded to ask her (7) a lot of personal questions about me and my fiancée whom my daughter now calls daddy.(where does he lives and what's his name?) is this normal? Is he seeking to reconnect with the child or trying to find out dirt about me?

Probably both. I wouldn't call it normal. That is typical of parents who make their children the rope in their personal tug-of-war. My advice would be to take the high road. Don't bad mouth him to the child no matter what he says about you. When your child gets older she will learn what he's like for herself.

Good or bad, children grow up to be like their parents. You have no control over what her father does but you have a lot of control over what she's exposed to. Divorce is a very damaging experience to children. The best you can do at this point is set an example of the good side; that families can work and that there are men who care for their children rather than use them to try to get what they want.