Immigration Questions

1.What happens if illegal immigrants have children that were born in the US? Are they (the children) also considered illegal immigrants? 
- 300,000 children of illegal immigrants born in the United States every year, according to the Pew Hispanic Center. They're given instant citizenship because they are born on U.S. soil, which makes it easier for their parents to become U.S. citizens. I believe that it is not fair or just to give them citizenship automatically because this method will cause excessive increase in number of future illegal immigrants. Say for example, illegal immigrant married couple, the Gonzalez family,gives birth to Pedro in Texas. Pedro gains citizenship by law even though his parents are illegal. Years past, Pedro is able to give his families in Mexico an invitation visa to U.S. This would eventually cause epidemic problems. 
2. Would there be cases in which illegal immigrants are allowed to stay in the United States? 
-No, there should not be any case which an illegal immigration is legal in any circumstances. It would be unconstitutional and it would be ruled against in the Supreme Court. Also for example, if one case of illegal immigration is allowed, it would set a precedent for future immigrants cases and it would lead to a weaker enforcement of illegal immigrations. 3. What is life like for the child of an illegal immigrant?
I personally know couple families and friends who are illegal residents by law, and one can say that their lives are not very much different except in the events of schoarships, loans, insurance, medicare, licenses. In fact, it is very harsh and difficult to live because they do not have any aid or benefits of a citizen like insurances and medical cares.