I want sole custody?:
Yes if you feel he is doing more damage than good by being involved in her life, you have the right to ask for sole custody.  This can be hard to prove, especially if there has never being a court order in place as far as visitation.  My opinion, the judge would order specific days for visitation first.  If he did not follow the visitation dates, the judge will assume that is basically giving up his parental rights and could order you sole custody.  Again, this may take some time.

As for child support, definitely.  He will be subject to back child support from the day she was born unless he can prove that he was paying.

You would do both of these by going to your county child support services office and filing child support payment/custody documents.  Not hard to fill out and they will assist you in doing them.  The more information you have about your daughters dad the better i.e. job information, social security, drivers license, address, etc.