Insurance Questions

So, I'm reviewing my health insurance information, and ot said it covers lab/blood work, but not any lab or bloodwork done solely for the purpose of finding out gender. 
Does this mean they'll pay for the harmony test, and finding out the gender just be part of it? (I'm going to call on this later) 
Also, after delivery, my insurance doesn't cover anything for the baby. Is there a way that I can add the baby to my insurance before birth?