Can Undocumented Immigrants Make Legal Claims the Same as You and I?

Assuming you and I are native born or naturalized American citizens, can undocumented immigrants make the same claims as we could in a court of law? Most experts say they can.

Link:
http://www.learnliberty.org/blog/t-he-constitutional-rights-of-noncitizens/?utm_source=google&utm_medium=cpc&utm_term=google_grant&utm_content=blog_constitution_noncitizens&gclid=EAIaIQobChMIpdmH26vN2AIVRLXACh20BQsXEAAYASAAEgLG9fD_BwE

If that's the case, how can the government charge a non-citizen with a crime that they are alleged to have committed as a minor? Children can not be held responsible for a crime that their age prevents them from understanding.

And, all undocumented persons, regardless of age, should be able to invoke the statute of limitations provisions. If a person can establish that they entered the country without the proper documentation more than 5 or 7 years ago, depending on the statute cited, can that person claim that immunity, provided they've committed no other crime during that time?

I really don't know the answer to these questions and perhaps a DUer with greater understanding of the law can explain this to me.

Thanks