First of all ... are you sure you're allowed to run scripts from your angelfire account? The following is from the angelfire site:
If you subscribe to Angelfire Neon, Argon, Xenon, or Krypton, you can upload, write, and edit your own CGI/Perl scripts!"
In other words, if you have the free hosting, cgi support is not included.
Aside from that ...
When I go to the url for your web site, I see in the source that you have an extra opening form tag (<form>). You need to remove that and then try again. There could be other things as well, but it looks like the form is sending the data via "GET" rather than "POST" which is what you specified in the second form tag.
Also, you don't have a file extension for the script name like form_handler_mail.pl or form_handler_mail.cgi or .php.
Check all of these things out.