Ask an Immigration Solicitor. Get an Answer ASAP.
Out of jurisdiction removali is difficult. You 50 50 chance of success. Financially he should be paying maintenance if not you need to contact CSA
You can go home but you cannot take your child out of the UK without court permission.
You need to seek the help of a family law solicitor. You daugher is not entitled to capital funds only maintenance.
The law in the UK requires the non resident parent to only pay maintainance that is what it is.
It is all about the best intetest of your child and not who has the most power. Both of you have parental responsibility towards your child. It is irrelevant whether you are married or not.
I have told you what to do. You need to go and see a family lawyer or make an application yourself to take your child out of the UK.
it is also expensive if you do it yourself. here is a link to more information www.gov.uk/permission-take-child-abroad