I would really like to know to if the grown child could sue the estate or will be estate of the biological father ie family because she's legaly his,

First its not a good idea to piggyback your question on someone else's. This can lead to confusion. You should start a new thread. So I've moved your question to its own thread.

Also no need to shout at us.

If there was a will and you were not mentioned, you may have a cause of action against the estate for your share. If there was no will you can submit a claim to the estate for your share.

You will have to prove paternity,

I would like to add that if you were legally adopted, you may have absolutely ZERO legal connection to a biological parent, and therefore would have no rights to his estate.