With the info provided he has a 50/50 chance of getting joint custody. Some states are more PRO father involvement than others (I your know NY is very much PRO dads as long as the dads want to be involved)
Call your lawyer and hopefully they can give you some more info. Good luck
If he is harassing you, the best thing you can do is to turn it over to the police.
And if your daughter is breastfeeding, he still has a chance to get joint custody, but until she is able to be given a bottle/ isn't BF so much. His shared time will just be limited until then.
This is a common tactic. My lawyer said that you ask for everything and hopefully end up with something close to what you actually want.
I think it's important for you to decide what you can live with and counter file with that.
Joint legal custody = both of you having say in important decisions like education, religion, medical, etc.
Joint physical custody = the child splits their time 50/50 between both houses.
I can honestly say neither of those will end up working, because when I don't give him his way or jump when he thinks I should to something he wants, it turns into an argument with him yelling, cursing, being disrespectful, etc.