Custody or parenting time

LO is getting use to not having her dad around! Sucks to say! We've been engaged for 3 years and split. It takes about a month and a couple weeks for him to buy her diapers when she needs them! He has never physically watched her himself! His parents have cats and one is really feisty 😔 I went to take my exam at school and came back to LO with scratches on her face and hands! This is not the first time the cat has done so! Also when it comes time for spending time with LO or picking her up he forgets, doesn't come or make up excuses! Can I use this for court as him neglecting our daughter? I honestly don't want child support I just want custody !!!