Hi Watson and welcome 🙂
I'm sorry but I dont actually think that you have Parental Responsibility (PR) for your daughter because she was born before December 2003 and you werent married at the time of birth. After 2003 just being on the birth certificate is enough to have PR, married or not. If you are in Scotland though because you got married after she was born you would have PR. Heres a link -
www.gov.uk/parental-rights-responsibilities/who-has-parental-responsibility
Dont worry about it too much though as you can apply for it whether the mother agrees or not. If you wanted to go for a defined Contact Order you could apply for both at the same time. Having PR doesnt give you rights over contact anyway, it just means that the mother should consult you over things like medical treatment or education and should also keep you informed of the progress of the child...
The amount of contact you are asking for is not excessive, the average contact awarded is a full weekend every fortnight and one day in the week, plus shared holidays, birthdays and christmases.
It seems to me that you are probably going to have to settle this in court as its been five months and the mother is refusing you all but half the holidays...thats just not enough! Before applying to the court though you would both be expected to have attempted Mediation. If this isnt tried the judge is likely to defer and order you both to attend Mediation anyway.
The first step then would be to try Mediation, you would make an inititial appointment at a Mediation Centre and go and discuss what has been happening and what you hope to achieve. The Mediator would then write to your ex and invite her to attend, if she accepts an appointment would be made for her and she would be given the opportunity to talk things through and outline her issues. After that the Mediator would then make an appointment where both of you would attend and with their help and guidance talk things through and hopefully reach an agreement. If she refuses to attend or you cannot resolve your differences then the Mediator would issue you with a form FM1. This you would then submit to the court with the form C100 to apply for contact. It would be advisable to choose a Mediation Centre close to where your ex lives as she may use this as an excuse not to attend. heres a link to the National Family Mediation website -
www.nfm.org.uk
You would also need to submit a form C1 to apply for PR, but as i said before you can do this at the same time that you apply for a Contact Order.
There are many Dads on here that have self represented and there are a couple of stickys with lots of information about this at the top of the Legal Eagle section. There is also a sticky about the Contact Order C100 form. to apply yourself it will cost you £200 to submit both forms but you can if you feel it necassary use the services of a solicitor.