First of all, I cannot be sure that your mail server is properly configured with your site or even exist.
But your main problem is not sending mail; sooner or later you'll figure it out. Another thing is much worse: it is badly unsafe. It will be way too easy to turn your host into a zombie spreading spam, or something like that. I'll explain. I explained this trivial exploit in my past answer:
unable to send mail , it showing the error in below code .[
^].
—SA