Please, I need advice...
I have a DD who is 5, and I split from her biological Dad when she was 2. EXDP was very emotionally abusive towards me, and DD suffered until he left.
EXDP wanted to keep in contact with DD and would see her for on average for about a 24 hour period a week which would include an overnight stay. DD's behaviour would always be terrible when she came back, and EXDP gives no input to parenting and would generally buy toys to in a sense buy DD's love.
Fast forward a few years, I am now in a brilliant relationship and expecting another baby (which DD is thrilled about), and my now DP has lived with us for about 10 months. Both DD and DP get on brilliantly, and DD has begun calling DP Dad (all of this has been of her own accord, not encouraged by me or DP).
In the meantime, DD has continued to see EXDP, but this has been very erratic on his part - changing dates, or cancelling. However, in March DD went for her usual overnight stay and I had to go and pick her up after an hour as she was hysterically crying that she didn't want to stop overnight with him. Eventually I got DD to tell me the reason (this took days), and she said that EXDP had really shouted at her, and she didn't know what she had done wrong. EXDP denied all knowledge.
Now DD refuses to sleep over with him (NB EXDP has/d DD at his Mum's house, as he refuses to tell me where he lives, he doesn't drive so if he wants to see DD I have to take her to meet him either at a pre arranged spot or his Mum's house), and is now down to seeing him for about 45 mins one afternoon after school and 6 hours on a Saturday. 8 times out of 10 DD says she never wants to go, unless EXDP is taking her shopping for toys unless crap that she doesn't need DD never wants to talk to him if he calls, and is generally very happy whenever EXDP isn't on the scene. Sometimes, DD will ask very strange questions such as 'Don't you love me?' (A classic EXDP line), or most recently 'Am I a boring little girl?' She will never tell me who says such things to her, but she will open up to DP, who then finds out that EXDP says these things to her and she's not to tell her Mum.
Now, DD saw EXDP on Thursday for their usual walk about Tesco for 45 mins, and when I picked her up she announced that she had bought 'Dad' (A name she hasn't used for him since way before my DP was on the scene) a Father's Day card. In short, he had bought himself a card (to my knowledge he's never done this before) and got her to write on it.
Saturday morning rolls around, and she's quite certain that she didn't want to go see him, so I let him know, he demanded to know why, and I just said that she didn't give me a reason (which she didn't). I then asked if he wanted to see her on Sunday instead (Fathers' Day), but I had no reply.
Yesterday DD was very excited to see if EXDP had opened her card, and asked if she could call him, so off she went (I put the phone on speaker so I can intervene if needed) and she asked if she could see him to which the reply was 'NO, I'm too busy. You didn't want to see me yesterday'. DD then asked him 4 times if he loved her, (I was trying to get her to end the conversation as she was getting upset) and then she began to cry and I mean a real heartbroken cry. 
I cuddled her for about half an hour afterwards and she was asking why doesn't he want to do things with me, he's always texting on his phone or shouts at me etc. Eventually I cheered her up, DP finished work and and we enjoyed the rest of the day without EXDP being mentioned.
I don't want DD to have anything to do with EXDP as I really don't think that he's good for DD. ABIU to ignore his calls and not to arrange the 6 hour 45 minute visits?
My DD is a very happy bright girl, who loves to sleep over at my parents and DP's parent's house, and she has lots of friends and loves school. Put her with EXDP and she becomes very unhappy and withdrawn.
Also, I forgot to add, DP and I get married next April, and DD's surname has been changed by deedpoll to DP's when it used to be EXDP. EXDP didn't fight to keep her name the same.
ABIU to tell the abusive C*NT to do one for the sake of my DD??