What of someone use your identity on Internet? I searched my First name on google I see some post that I violate the Law like WTF?

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You do realize that your first name is not unique. There will always be someone out who has a name like yours so your search is just downright dumb.

Now, trying the same search with your first name and last name would narrow down the results but again, there may be others who have the same name as yours. It may even be possible that they live nearby.

There are other ways to prove you're not the guilty one. Your birth date, birth place, and parents' names will all come in handy. Surely having those same information as yours would be too much of a coincidence already and this is what authorities use to figure out who to put in jail and who not to. That is also the reason you shouldn't be giving out those personal info to anyone or any site for that matter.