Jquery conflict on different wordpress pages

Question

I am using the following code in wordpress:

<?php
function my_scripts_method() {

   if (is_page_template('front-page.php')) {
   // register your script location and dependencies

   wp_register_script('custom_script',
       get_template_directory_uri() . '/includes/jquery-1.10.2.min.js', array('jquery')
    ); 
    // enqueue the script
   wp_enqueue_script("custom_script"); 


  // add_action('wp_enqueue_scripts', 'my_scripts_method');

   // register your script location and dependencies
   wp_register_script('custom_script1',
       get_template_directory_uri() . '/includes/masonry.pkgd.min.js',
       array('jquery')
    );
   // enqueue the script
   wp_enqueue_script('custom_script1');

  // add_action('wp_enqueue_scripts', 'my_scripts_method');


     // register your script location and dependencies
   wp_register_script('custom_script2',
       get_template_directory_uri() . '/includes/unslider.min.js',
       array('jquery')
    );
   // enqueue the script
   wp_enqueue_script('custom_script2'); 

     // register your script location and dependencies
   wp_register_script('custom_script3',
       get_template_directory_uri() . '/includes/front-page.js',
       array('jquery')
    );
   // enqueue the script
   wp_enqueue_script('custom_script3'); 

   }
   if (is_page_template('our-story.php')) {
       wp_register_script('custom_script4',
       get_template_directory_uri() . '/includes/parallax.js',
       array('jquery')
    );
   // enqueue the script
   wp_enqueue_script('custom_script4'); 



   }

       wp_register_script('custom_script5',
       get_template_directory_uri() . '/includes/jquery.fancybox.js',
       array('jquery')
    );
   // enqueue the script
   wp_enqueue_script('custom_script5'); 



}

   add_action('wp_enqueue_scripts', 'my_scripts_method');


?>

The problem I am facing is with the first /jquery-1.10.2.min.js lib. When I include this, it works well only on the front-page.php (homepage) while no other jquery functions work as expected on any of the other pages. Now when I remove this lib, the homepage get broken. Any suggestions how do I fix this one? I tried using noconflict function but still I get the same results. Also I don't using $ (using jQuery) in my js files.

Moreover the condition if (is_page_template('front-page.php')) isn't working on homepage.