Widgets not showing on custom theme

Try to combine both sidebars/arrays into one function.

function my_widgets() {
    register_sidebar(
       array(
       'id' => 'contact-info',
       // add the rest here
       ),
    register_sidebar(
       array(
       'id' => 'social-links',
       // add the rest here
       ))
    );
}
add_action('widgets_init', 'my_widgets');

Then you call the deisred sidebar

<?php if(is_active_sidebar('contact-info')) : ?>
   <?php dynamic_sidebar('contact-info'); ?>
<?php endif; ?>