Make menu bootstrap compatible

You can try this way:

<nav class="navbar navbar-default" role="navigation">
  <div class="container">
    <div class="navbar-header">

      <button type="button" class="navbar-toggle collapsed" data-toggle="collapse" data-target="#navbar" aria-expanded="false" aria-controls="navbar">
        <span class="sr-only">Toggle navigation</span>
        <span class="icon-bar top-bar"></span>
        <span class="icon-bar middle-bar"></span>
        <span class="icon-bar bottom-bar"></span>
      </button>

      <a class="navbar-brand" href="https://wordpress.stackexchange.com/questions/313884/<?php coldstar_the_page_link("front-page.php' ); ?>">
        <img src="<?php bloginfo('template_url'); ?>/images/companylogo.png" class="img-responsive hidden-md" alt="Bed Centre Grimsby Logo">
        <img src="<?php bloginfo('template_url'); ?>/images/logo.png" class="img-responsive hidden-lg hidden-sm hidden-xs" alt="">
      </a>
    </div>

    <div id="navbar" class="navbar-collapse collapse">
      <ul class="top-contact hidden-xs hidden-sm">
        <li class="phone">
          <span class="icon"></span>
          01472 267660
        </li>
        <li class="email">
          <span class="icon"></span> <a href="mailto:[email protected]">[email protected]</a>
        </li>
        <li class="facebook">
          <a href="https://www.facebook.com/Bedcentregrimsby/" target="_blank"><img src="http://beta.bedcentregrimsby.co.uk/wp-content/themes/bedcentregrimsby/assets/images/facebook-logo.png"></a>
        </li>
      </ul>

    <?php
          wp_nav_menu( array(
              'container'      => false,
              'menu_id'        => 'joey-ireland',
              'menu_class'     => 'nav navbar-nav navbar-right',
              'items_wrap'     => '<ul id="%1$s" class="%2$s">%3$s</ul>',
              'theme_location' => 'primary',  // must match in register_nav_menus
              'depth'          => 5,
              'fallback_cb'    => false,
              'walker'         => new Joey_Bootstrap_Walker(),
          ));

class Joey_Bootstrap_Walker extends Walker_Nav_Menu {

    function start_lvl(&$output, $depth = 0, $args = Array() ) {
        $indent = str_repeat("\t", $depth);
        $output .= "\n$indent<ul class=\"dropdown-menu\">\n";
    }

    function start_el( &$output, $item, $depth = 0, $args = array(), $id = 0 ) {
        if ( isset( $args->item_spacing ) && 'discard' === $args->item_spacing ) {
            $t="";
            $n = '';
        } else {
            $t = "\t";
            $n = "\n";
        }
        $indent = ( $depth ) ? str_repeat( $t, $depth ) : '';

        $has_child = false;
        if ( $args->walker->has_children !== false ) {
            $has_child = true;
        }

        $classes = empty( $item->classes ) ? array() : (array) $item->classes;
        $classes[] = 'menu-item-' . $item->ID;

        $args = apply_filters( 'nav_menu_item_args', $args, $item, $depth );

        $class_names = join( ' ', apply_filters( 'nav_menu_css_class', array_filter( $classes ), $item, $args, $depth ) );

        // Check our custom has_children property.
        $class_drop = '';
        if ( $has_child ) {
            $class_drop = $class_names !== '' ? ' dropdown' : 'dropdown';
        }

        if ( $class_names ) {
          $class_names=" class="" . esc_attr( $class_names ) . $class_drop . '"';
        } else {
          $class_names = $class_drop !== '' ? ' class="' . $class_drop . '"' : '';
        }

        $id = apply_filters( 'nav_menu_item_id', 'menu-item-'. $item->ID, $item, $args, $depth );
        $id = $id ? ' id="' . esc_attr( $id ) . '"' : '';

        $output .= $indent . '<li' . $id . $class_names .'>';

        $atts = array();
        $atts['title']  = ! empty( $item->attr_title ) ? $item->attr_title : '';
        $atts['target'] = ! empty( $item->target )     ? $item->target     : '';
        $atts['rel']    = ! empty( $item->xfn )        ? $item->xfn        : '';
        $atts['href']   = ! empty( $item->url )        ? $item->url        : '';

        $atts = apply_filters( 'nav_menu_link_attributes', $atts, $item, $args, $depth );

        $attributes="";
        foreach ( $atts as $attr => $value ) {
            if ( ! empty( $value ) ) {
                $value = ( 'href' === $attr ) ? esc_url( $value ) : esc_attr( $value );
                $attributes .= ' ' . $attr . '="' . $value . '"';
            }
        }

        if ( $has_child === true ) {
            $attributes .= ' class="dropdown-toggle" data-toggle="dropdown"';
        }

        $title = apply_filters( 'the_title', $item->title, $item->ID );

        $title = apply_filters( 'nav_menu_item_title', $title, $item, $args, $depth );

        $item_output = $args->before;
        $item_output .= '<a'. $attributes .'>';
        $item_output .= $args->link_before . $title . $args->link_after;
        $item_output .= '</a>';
        $item_output .= $args->after;

        $output .= apply_filters( 'walker_nav_menu_start_el', $item_output, $item, $depth, $args );
    }
}
  ?>

    </div>
  </div>
</nav>
<div class="feature-nav">
  <div class="container">
    <div class="col-xs-12 col-sm-4 col-md-4 delivery">
      <div class="icon"></div>
      <div class="text">
        <p>FREE Local Delivery<span>We deliver for FREE within a distance of 8 miles.</span></p>
      </div>
    </div>
    <div class="col-xs-12 col-sm-4 col-md-4 parking">
      <div class="icon"></div>
      <div class="text">
      <p>FREE Parking<span>Our carpark is free for our customers.</span></p>
      </div>
    </div>
    <div class="col-xs-12 col-sm-4 col-md-4 disability">
      <div class="icon"></div>
      <div class="text">
      <p>Wheelchair Friendly<span>Our store is accessible for wheelchairs. </span></p>
      </div>
    </div>
  </div>
</div>

For documentation, see here:

• register_nav_menu – Registers a single custom Navigation Menu in the custom menu editor

• wp_nav_menu – Displays a navigation menu.

• Walker_Nav_Menu: – Core class used to implement an HTML list of nav menu items.
  • Walker::start_lvl – Starts the list before the elements are added.
  • Walker::end_lvl – Ends the list of after the elements are added.
  • Walker::start_el – Starts the element output.
  • Walker::end_el – Ends the element output, if needed.