wp-admin redirects to subdirectory after shifting set up to subdirectory

I’ve moved a wordpress set up to a subdirectory, from var/www/html to var/www/html/wp-blog primarily to make it future proof. I’ve adopted the directions within the codex. My server is configured as such

1. I’ve a nginx reverse proxy which directs calls to weblog.mysite.com to the port 8080.
2. Apache listens on 8080
3. I’ve modified the .htaccess from what’s given within the codex and it’s as follows

.htaccess

<IfModule mod_rewrite.c>
RewriteEngine on
RewriteCond %{HTTP_HOST} ^weblog.mysite.com$
RewriteCond %{REQUEST_URI} !^/wp-blog/
RewriteCond %{REQUEST_FILENAME} !-f
RewriteCond %{REQUEST_FILENAME} !-d
RewriteRule ^(.*)$ /wp-blog/$1
RewriteCond %{HTTP_HOST} ^weblog.mysite.com$
RewriteRule ^(/)?$ wp-blog/index.php [L] 
</IfModule>

I’ve solely modified the ^(www.)? check to weblog since I do not need www. Additionally though the wordpress occasion is in a subfolder I want to server it by way of weblog.mysite.com and the admin at weblog.mysite.com/wp-admin.

Now my bother is that after I use the the url weblog.mysite.com/wp-admin it takes me a the login web page however I get caught in a loop after that. I observed that my url within the tackle bar has a redirect_to set at weblog.mysite.com/wp-blog/wp-admin. If I take away wp-blog from the redirect url, I’m able to login.

The bizarre half is that, if the session will get over whereas I’m within the admin web page, the redirect url is ok!

At this level I’ve modified the WordPress URL within the Common Settings to weblog.mysite.com/wp-blog and all the things works so far as I see. However as I stated earlier than I want to use the admin panel on the foundation.