First thing I notice is that this:
$nomineeField = $_POST['form1'];
$nomineeField = $_POST['form2'];
$nomineeField = $_POST['form3'];
$nomineeField = $_POST['form4'];
$nomineeField = $_POST['form5'];
$nomineeField = $_POST['form6'];
$nomineeField = $_POST['form7'];
$nomineeField = $_POST['form8'];
$nomineeField = $_POST['form9'];
$nomineeField = $_POST['form10'];
$nomineeField = $_POST['form11'];
$nomineeField = $_POST['form12'];
$nomineeField = $_POST['form13'];
$nomineeField = $_POST['form14'];
$nomineeField = $_POST['form15'];
$nomineeField = $_POST['form16'];
$nomineeField = $_POST['form17'];
$nomineeField = $_POST['form18'];
might as well be written as this:
$nomineeField = $_POST['form18'];
since you're just constantly overwriting the value stored in $nomineeField without ever actually using the previous value.
EDIT: Then again, you might as well not even have that last statement since you don't appear to use $nomineeField even after the last assignment statement.
Second problem I notice is here:
$body = <<<EOD
<br><hr><br>
Emial: $Email <br>
Name: $Name2 <br>
Newest Randy/Randeen: $form1 <br>
Favorite Nickname: $form2 <br>
Best Quote: $form3 <br>
Favorite Security: $form4 <br>
BILF: $form5 <br>
Favorite Bartender of The year: $form6 <br>
Most Creative: $form7 <br>
Party of the Year: $form8 <br>
Favorite Drinking Buddies: $form9 <br>
Funniest Drunk: $form10 <br>
Biggest Drama Queen: $form11 <br>
Nicest Drunk: $form12 <br>
Loudest Drunk: $form13 <br>
Best Drunken Moment: $form14 <br>
King of Belltown: $form15 <br>
Queen of Belltown: $form16 <br>
Cutest Couple: $form17 <br>
Drunk of The Year: $form18 <br>
EOD;
None of the variables you use inside that heredoc string are defined. (You also attempt to use the undefined variable $Email when defining $header as well). These are all problems you should already know about, of course, assuming you've got display_errors (and/oor log_errors) set to On and error_reporting set to E_ALL or better.