How to post radio and checkbox selections? Form handled by php and js

I have an Html form that I would like to add radio buttons and checkboxes to but cant seem to get the selections posted the right way. The form is handled by php and js.

Here are the radio buttons and checkbox I would like to add but no matter what I try I can't get it to post the selection.

<div class="col-md-6" style="margin-top: 20px;">
    <h3 class="section-heading">Choose Options</h3>
    <label class="radio-inline">
        <input type="radio" name="options" id="optionsgloss" value="gloss" checked>Glossy
    </label>
    <label class="radio-inline">
        <input type="radio" name="options" id="optionsnogloss" value="nogloss">Matte
    </label>
    <label class="checkbox-inline" style="margin-left: 10px;">
        <input type="checkbox" id="optionsRound" value="round">Round Corners
    </label>
</div>

What lines would I have to add to PHP:

            <?php
    // Check for empty fields
    if(empty($_POST['name'])        ||
       empty($_POST['email'])       ||
       empty($_POST['phone'])       ||
       empty($_POST['message']) ||
       !filter_var($_POST['email'],FILTER_VALIDATE_EMAIL))
       {
        echo "No arguments Provided!";
        return false;
       }

    $name = $_POST['name'];
    $email_address = $_POST['email'];
    $phone = $_POST['phone'];
    $message = $_POST['message'];

    // Create the email and send the message
    $to = 'info@email.com'; 
    $email_subject = "Website Contact Form:  $name";
    $email_body = "You have received a new message from your website contact form.\n\n"."Here are the details:\n\nName: $name\n\nEmail: $email_address\n\nPhone: $phone\n\nMessage:\n$message";
    $headers = "From: noreply@email.com\n"; 
    $headers .= "Reply-To: $email_address"; 
    mail($to,$email_subject,$email_body,$headers);
    return true;            
    ?>

And lastly what to add to the js:

        $(function() {

        $("input,textarea").jqBootstrapValidation({
            preventSubmit: true,
            submitError: function($form, event, errors) {
                // additional error messages or events
            },
            submitSuccess: function($form, event) {
                event.preventDefault(); // prevent default submit behaviour
                // get values from FORM
                var name = $("input#name").val();
                var email = $("input#email").val();
                var phone = $("input#phone").val();
                var message = $("textarea#message").val();
                var firstName = name; // For Success/Failure Message
                // Check for white space in name for Success/Fail message
                if (firstName.indexOf(' ') >= 0) {
                    firstName = name.split(' ').slice(0, -1).join(' ');
                }
                $.ajax({
                    url: "././mail/contact_me3.php",
                    type: "POST",
                    data: {
                        name: name,
                        phone: phone,
                        email: email,
                        message: message
                    },
                    cache: false,
                    success: function() {
                        // Success message
                        $('#success').html("<div class='alert alert-success'>");
                        $('#success > .alert-success').html("<button type='button' class='close' data-dismiss='alert' aria-hidden='true'>&times;")
                            .append("</button>");
                        $('#success > .alert-success')
                            .append("<strong>Your message has been sent. </strong>");
                        $('#success > .alert-success')
                            .append('</div>');

                        //clear all fields
                        $('#contactForm').trigger("reset");
                    },
                    error: function() {
                        // Fail message
                        $('#success').html("<div class='alert alert-danger'>");
                        $('#success > .alert-danger').html("<button type='button' class='close' data-dismiss='alert' aria-hidden='true'>&times;")
                            .append("</button>");
                        $('#success > .alert-danger').append("<strong>Sorry " + firstName + ", it seems that my mail server is not responding. Please try again later!");
                        $('#success > .alert-danger').append('</div>');
                        //clear all fields
                        $('#contactForm').trigger("reset");
                    },
                })
            },
            filter: function() {
                return $(this).is(":visible");
            },
        });

        $("a[data-toggle=\"tab\"]").click(function(e) {
            e.preventDefault();
            $(this).tab("show");
        });
    });


    /*When clicking on Full hide fail/success boxes */
    $('#name').focus(function() {
        $('#success').html('');
    });

Any help would be appreciated.

Thanks