No. He or she must still apply for permanent resident status and then citizenship as required by US Immigration laws.
of course it can
Nope.
no
Yes.
You've got to be kidding. Breaking the law is not the path to citizenship or permanent residence, neither is marriage.
No
Yes They Can
No, but it does give you the ability to complete the naturalization process.
no
Getting married to an American citizen.
If there was illegal entry, then no, marriage doesnt make you a legal resident. You would need to file a 130 petition along with a I-601 waiver at the U.S. embassy/consulate in HONDURAS, and you would be required to appear there. If you had legal entry, then it would be possible to get legal residency through marriage to a citizen.
You can help an illegal alien become legal by helping them fill out the appropriate applications for residency and paying the needed fees. This will put them on the right track to becoming a legal resident or citizen.