It doesn't sound that abnormal to me other than her banging her head. I find that kind of behaviour odd but I know some kids do it or bang their heads on the playpen repeatedly.

I had 2 children in my care who didn't talk from 18 months until 2 years old and then suddenly the flood gates opened. I just kept reading with them and trying to teach them and now they talk my ear off.

Her not moving when the drawer opens could just mean she has no concept that it can hurt her or that she trusts you to keep her from getting hurt.

I have someone in care who people would make comments about when we would go out. People would say that perhaps this child has ADHD or Autism and I brought it up carefully in conversation with the child's mother. The mother went for testing of all sorts and all the child's doctors have said he is just fine - just that everyone is different. The mom was willing to get it checked out but it is definitely a sensitive subject and an area where we have to be careful to because it can be offensive to parents if they are not prepared to hear that something could be off about their beloved child.