No. You cannot use a US birth certificate to cross the US/Mexican border in either direction. US citizens may use a passport (booklet mandatory for air travel), US passport card, "enhanced" drivers license or "enhanced" non-drivers ID.
No if you are not a local. If you are, it may be possible but you may need other forms of identification or your passport to travel especially by plane.
If you have an ID and birth certificate, you shouldn't have any problem re-entering the US.
A child born outside the US will not be issued a US birth certificate. The birth certificate will be issued by the country in which the child was born.
What do you mean: are you thinking of the Declaration of Independence (1776) or are you asking what a US birth certificate looks like?
I don.t think you could renew your birth certificate, but may be get a replacement certificate.
Illegal immigrant children are given a US birth certificate. The parents remain illegals.
A birth certificate should suffice. Passport
No, to your question about an expired passport. I'm sure you can't mean "expired birth certificate", even if that's what your wording suggests. However, a birth certificate alone won't get you into the USA.
No. You require a Passport.
You don't need a passport to fly within the continental US or your birth certificate.
You need an American ID, birth certificate or US passport. Note you don't need anything to cross into Mexico; however you will need any one of these documents to return to the United States.
Do you have a US birth certificate? Where were you born?
Birth certificate.