Should I take him to court?

yasidi • 21 single mom to a beautiful little girl
My baby daddy and I were together for 6 years. We had a beautiful baby girl who is now 1 year and 8 months. However once she turned a year we decided to take a break. Actually I decided I needed a break. Thoughout her whole first year he never paid attention to me. He lied after lie after lie. About 5 months ago we were trying to fix things he'd come over tell me he loved me all that stuff then I found out a month into it he was talking to some girl. I was mad but I'm over it. I met my "better". 
Since he's been with this girl he's completely ignored his daughter. He goes out when it's his week (we agreed on one week him one week me)  he leaves her with his parents and she falls asleep in their bed so He wakes up around 1 and leaves at 230-3 to to go the gym then goes home at 11 from work. Hardly ever sees her. These past 2 weeks I've had her with me in Iowa we're from Texas visiting my boyfriend. 
He's only asked about her 2x and that's because I bitched about him not asking about her. I face timed him (my daughter sat in front of the phone waiting) and he ignored my 3 calls then proceeded to text me I'm with my girl. He never called later. Never asked how she was. 
4-5 days ago she got sick to the point where I had to take her to the drs. I texted him 3x before I called him to let him know I needed her insurance since she's on his I called him 3x then texted him
Again and then called. He turned off his phone. This was at 9am. He has yet to
Ask if she's feeling well or even call! 
I didn't want to take him to court still don't but I feel as if he doesn't care. So my question is should I take him or not?

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