Have you received papers? If so, what stage is the case at?
That will be the child welfare hearing. What you have to do is have your solicitor explain to the court that he has taken no interest in the child up to now and that his real reason is to support his application to stay in the country. You can use as example how many times he has asked to see the child. The court will take into account the best interests of the child. If an order is granted, from what what you say he may not bother with it anyway if all he needs is a bit of paper to show the immigration authorities. However, you will have to tell your solicitor the whole history so that you can put your case forward to the court. Happy to discuss further. I hope that helps. Please leave a positive rating so that I am credited for my time.
All of these factors are very relevant. His criminal record and record of abuse is such that the court would be hesitant to give him contact and if he has shown no interest in his daughter this is another relevant factor.