[Avodah] Who is the father redux - from R' Aviner

[David Eisen]

A few questions come to mind: 

If, nonetheless, the sperm is defrosted and the child is born:

1. Does the baby inherit his father's estate upon birth? 
2. Is he a kohen if his deceased father was one? 
3. Does the child say kadish on the yahrzteit of the father he never
knew? 
4. If the parents had been childless before this post-mortem birth, is
the mother no longer zekuka l'yibum/haliltza?

>>>>>>>
Q: Is it permissible for a widow to become impregnated by the frozen
sperm of her deceased husband?