Install wordpress as example.com/blog which redirects from f5 load-balance.

I want to setup wordpress as blogging site for myapplication. My application is running https://www.example.com.
I have installed SSL on f5-load-balancer.
All the URL from load balancer go to my application server. But incase
https://www.example.com/blog then load-balancer redirect to my wordpress server.

When i hit this URL https://www.example.com/blog css is not loaded.

If I add this lines to wp-config file.

define('FORCE_SSL_ADMIN', true);
if ($_SERVER['HTTP_X_FORWARDED_PROTO'] == 'https')
       $_SERVER['HTTPS']='on';

define('WP_HOME','https://www.example.com/blog');
define('WP_SITEURL','https://www.example.com/blog');

$wp_content_url = get_bloginfo('url');

Then CSS is loaded and installation is done.

But after installation on wp-admin page I get for “YOU DO NOT HAVE SUFFICIENT PERMISSION TO ACCESS THIS PAGE.”

On customize page I get “To many redirect error”.

Can any one advise for this issue.