[Solved] Info needed.

Hi people I'm new to this as I have been going through some [censored] with my ex (my daughter's mum) and I know know where to go or what to do so a friend sent me this way!
Any way my daughter is 2 and to cut a long g story short me and her mum split up about a year ago after she found out I had cheated on her not long after we got togetger. I know this is wrong but this should have had no impact on me or my daughter any way it has done. Her mum didn't put me on the birth certificate so that's the first hurdle I need to get over. The second is her aggressive dad. He had a criminal record for gbh from years back and hadn't thought twice about using that towards me to scare me but it had never worked and that makes him worse! He threatens me with all sorts, beating me up, killing me, kidnap ECT but I'm slightly cocky towards it and don't think he has it in him any more and he doesn't like this. Any way he is the one calling the shots and he has out it in her head that because IV done this and hurt her she can hurt me by doing this. Any way let's crack on, IV been months before now not seeing my daughter, obviously texting her mum every day to see if she's alright, but nothing ever happens. But it did get better, she started letting me see her more, firstly I had to go to her house to with her dad for a hour then without her dad, then for a few hours then she swould meet me in town so I could see he for a few hours out of her house then finally she let me have her at my house, only for a hour whilst she did her shopping them she came to get her it got better having her for long but I want allowed to take her in my car or out in any way. This carried on for a few months going through it's good and bad stages until finally the other day she let me have her for the first time the other day on Christmas night. And this is great for me let a tear fall with the sheer joy! Any way although this is all old I'm worried, she now has a new boyfriend and it's already started going back, she hasn't replied to one of my text and has already said it's her step dad but I didn't rise to in infont of her just cried when she left. Any way the main point to all this is I want to know what I can do to guarantee that A. My daughter is safe, B. I want to be on my daughters birth certificate and finally I want guaranteed access on set days where I can do what I want with her and have her maby one two days a week over night if I'm lucky.without sounding like too much of a [censored] I'm a nice guy and have never physically hurt any one in any way she sees it as IV hurt my daughter by splitting the family up and that's why she's doing this. I just want my daughter to love me and know who I am. Please can someone help me in any way just some info on where to go. Oh and just abit more before I go, I have a full time job, I am currently looking to get a 2 bedroom flat and I pay over what I should be paying for the money I am on for my daughter. Thank you so much for reading and if you can't help me in any way moral support is always welcome. Tell me your story and help me get through my bad times. Thank you so much for this opportunity!