For immigrating to the US and getting a green card: Yes.
For obtaining US citizenship: No.
If he wanted to be considered British then YES.
Depends on the year they were born. The law has changed mid 1990's. Best to speak to British Consulate.
you can apply for residency, if you wish, then go through the proper channels for Citizenship, if your child is born in Canada, then your child is automatically Canadian.
If she does not hold British Citizenship herself; then she can't.With the exception of few countries, parents do not receive citizenship of their child.
No.
The father's legal rights in terms of fatherhood are the same as those of any father in the United States. His rights in terms of immigration benefits do not change in any way by having a US citizen child. The child will not be able to sponsor its parents until it turns 21, and then it will have to provide proof that it can financially support them.
In the United States the father has no rights until the child is born.
As soon as the child is born.
A person can sponsor a member of their immediate family such as their spouse, child, or parents for permanent residency in the US by filling out form I-130. If a person wishes to sponsor their fiance they must fill out a form I-129F.
No it is a citizen of where it lives.
No as the child has not been born.
Yes.