Sounds like you're evolving - I highly recommend proceeding the next step & evolving to a MVC CGI framework, like CGI::Application - it would work something like this:

#!/usr/bin/perl -wT
# this would be your .cgi file... let's say name.cgi
use strict;
use CGI::Carp qw( fatalsToBrowser );
$|++;
use MyApp;
my $webapp = MyApp->new();
$webapp->run();
[download]

Then a complementing cgiapp module:

package MyApp;

use strict;

use base 'CGI::Application';

sub setup {
  my $self = shift;
  my $self->run_modes( [ qw( start add addnew ) ] );
}

sub start {
  my $self = shift;
  my $query = $self->query;
  my $output = $query->start_html( -title => 'Simple Script' );
  $output .= '<a href="name.cgi?rm=add">Start</a>' . $query->end_html;
  return $output;
}

sub add {
  my $self = shift;
  my $query = $self->query;
  my $output = $query->start_html(-title=>$title.' Enter your name');
  $output .= $query->start_form .
    $query->hidden( 'rm', 'addnew' ) .
    $query->textfield('name','Enter Your name',20) .
    $query->submit('submit') . $query->reset .
    $query->end_form . $query->end_html;
  return $output;
}

sub addnew {
  my $self = shift;
  my $query = $self->query;
  my $text = 'Error , You should write your name';
  if ( $query->param( 'name' ) ) {
    $text = "Welcome $name";
  }
  my $output = $query->p( $text );
  return $output;
}

1;
[download]

HTH & Good Luck! - Jason

Update: Feel free to drop in on the #cgiapp channel on irc.perl.org
Update2: bugfix ... that's not really the best code -- just something I whipped up as a prototype