No.
A child does not have to have the same last name as the biological father to receive child support from that father.
Not likely.
no.
Yes.
No the father has no paternal rights until the baby is born.
Not if they've only just met. It can be a traumatic experience for a child in a separation to be introduced to their parent(s) potential new partner(s). The relationship should run at least three months to see if there is a future, before introducing the new partner to a child. It's also important to remember that legally when it's Part 1 who has the child, Part 2 can not dictate who the child is allowed to see. And the other way around. Moving on and introducing new partners is a part of life.
The centripetal force that keeps the child moving in a circle is provided by the tension in the rope or the force exerted by the father's hand on the child. This force is directed towards the center of the circle, preventing the child from moving in a straight line tangential to the circle.
You/your child's moving out of country would not, in itself, affect the father's support obligation. But hopefully he try to put a stop to it.
I know of no legal bar to you moving in with the child's father. For the child's sake and yours, however, I urge you two to get married, or at least establish legal paternity.
It all depends on what is his status.For example-if the NBF was married to the mother before a child was born he is presumed to be the father and there is no need to adopt the child. In the other hand if there is a bio-father it is required to ask him to relinquish his rights.
Yes
The child's moving out of the country would not, in itself, relieve the absent parent of his support obligation.