Antagonizing?

My children’s father and I relationship as coparenting has plummeted simply because I no longer give him the energy he wants. If he decides he wants to argue then I just don’t respond. I only contact him for pick up/drop offs, he wants more out of me.. he wants a relationship but im over the relationship and he physical/verbal abuse. This morning he asked if we could go on a date, I thumbs down the message then he asks again in more detail and I didn’t respond. Now he’s flooding my phone with pics/vids of the girls and I didn’t respond because usually that’s his way of sparking up conversation which I don’t want. Now he’s calling me a bad mom saying im not acknowledging my children, should I respond to vids/pics of them? I do look at what he sends of the girls and smile but am I really a bad mom for not responding? May seem like a dumb question to ask. I really don’t know how coparenting is suppose to go 😭