Magento – Magento contact form not receiving emails

I am having difficulty making my custom email form receive emails. My success message does not show when the submit button is clicked. I also am getting a Confirm Form Resubmission error when refreshing the page after clicking submit. I am not sure what I am missing to make it work.

Any help would be much appreciate. Here is my php controller function:

public function sendemailAction()
{
    $email = $this->getRequest()->get('email');
    $name = $this->getRequest()->get('name');
    $comment = $this->getRequest()->get('comment');
    $contact = $this->getRequest()->get('support_contact');
    $session = $this->getSession();

    $mail = new Zend_Mail();
    $mail->setBodyText($comment);
    $mail->setFrom($email, $name);

    $mail->setSubject('Vendor Support');

    $mail->addTo($contact . '@example.com');

    try {
        $mail->send();
        $session->addSuccess($this->__('Thank You! We will get in touch with you as soon as possible.'));
    } catch (Exception $ex) {
        Mage::getSingleton('udropship/session')->addError('Unable to send email.');

    }

    $this->_redirect('udropship/vendor');
}

My layout.xml file:

<udropship_vendor_support>
    <update handle="udropship_vendor" />

    <reference name="content">
        <block name="vendor.support" type="itemique_dropship/template" template="unirgy/dropship/vendor/support.phtml"/>
    </reference>
</udropship_vendor_support>

And my support phtml file:

<form id="support-form" class="standalone-form" action="<?php echo $this->getUrl('udropship/vendor/support'); ?>" method="post" enctype="application/x-www-form-urlencoded">

<h1><?php echo $helper->__('How can we help?'); ?></h1>

<fieldset class="form-content">
    <div class="form-row">
        <label for="support_contact">Contact department <span class="required">*</span></label>
        <select id="support_contact" class="select" name="support_contact" required>
            <option value="" disabled selected>--Please Select--</option>
            <option value="billing">Billing Enquiries</option>
            <option value="content">Content Support</option>
            <option value="tech">Technical Support</option>
            <option value="contact">Customer Service</option>
        </select>
    </div>

    <div class="form-row">
        <label for="comment">Your issue? <span class="required">*</span></label>
        <textarea class="textarea" name="comment" id="comment" required></textarea>
    </div>
</fieldset>

<div class="buttons-set">
    <p class="required">* Required Fields</p>
    <button type="submit" class="btn primary" name="send">
        <span><?php echo $helper->__('Submit') ?></span>
    </button>
</div>