nginx internal reverse proxy - nginx

Question

I want the following scenario
Client makes browser request to http://my-domain.com
Nginx A intercepts that request which then forwards it to Nginx B which is hosting my website
I have the current configuration but i am getting ERR_TOO_MANY_REDIRECTS
Nginx A (landing host proxy)
server {
listen 80 default_server;
listen [::]:80 default_server;
server_name _;
server_tokens off;
return 301 https://$host$request_uri;
}
server {
listen 443 ssl default_server;
listen [::]:443 ssl default_server;
ssl_certificate /my/ssl/my-domain.com.crt;
ssl_certificate_key /my/ssl/my-domain.com.key;
ssl_dhparam /my/ssl/dhparam.pem;
ssl_prefer_server_ciphers on;
ssl_ciphers
'ECDHE-RSA-AES128-GCM-SHA256:ECDHE-ECDSA-AES128-GCM-SHA256:ECDHE-RSA-AES256-GCM-SHA384:ECDHE-ECDSA-AES256-GCM-SHA384:DHE-RSA-AES128-GCM-SHA256:DHE-DSS-AES128-GCM-SHA256:kEDH+AESGCM:ECDHE-RSA-AES128-SHA256:ECDHE-ECDSA-AES128-SHA256:ECDHE-RSA-AES128-SHA:ECDHE-ECDSA-AES128-SHA:ECDHE-RSA-AES256-SHA384:ECDHE-ECDSA-AES256-SHA384:ECDHE-RSA-AES256-SHA:ECDHE-ECDSA-AES256-SHA:DHE-RSA-AES128-SHA256:DHE-RSA-AES128-SHA:DHE-DSS-AES128-SHA256:DHE-RSA-AES256-SHA256:DHE-DSS-AES256-SHA:DHE-RSA-AES256-SHA:!aNULL:!eNULL:!EXPORT:!DES:!RC4:!3DES:!MD5:!PSK';
return 404;
}
upstream client_proxy {
server my_internal_server:80;
}
server {
server_name my-domain.com;
listen 443 ssl;
ssl_certificate /my/ssl/my-domain.com.crt;
ssl_certificate_key /my/ssl/my-domain.com.key;
ssl_dhparam /my/ssl/dhparam.pem;
ssl_protocols TLSv1 TLSv1.1 TLSv1.2;
ssl_prefer_server_ciphers on;
ssl_ciphers 'ECDHE-RSA-AES128-GCM-SHA256:ECDHE-ECDSA-AES128-GCM-SHA256:ECDHE-RSA-AES256-GCM-SHA384:ECDHE-ECDSA-AES256-GCM-SHA384:DHE-RSA-AES128-GCM-SHA256:DHE-DSS-AES128-GCM-SHA256:kEDH+AESGCM:ECDHE-RSA-AES128-SHA256:ECDHE-ECDSA-AES128-SHA256:ECDHE-RSA-AES128-SHA:ECDHE-ECDSA-AES128-SHA:ECDHE-RSA-AES256-SHA384:ECDHE-ECDSA-AES256-SHA384:ECDHE-RSA-AES256-SHA:ECDHE-ECDSA-AES256-SHA:DHE-RSA-AES128-SHA256:DHE-RSA-AES128-SHA:DHE-DSS-AES128-SHA256:DHE-RSA-AES256-SHA256:DHE-DSS-AES256-SHA:DHE-RSA-AES256-SHA:!aNULL:!eNULL:!EXPORT:!DES:!RC4:!3DES:!MD5:!PSK';
location / {
rewrite ^ http://my-domain.com/;
index index.html index.htm;
charset utf-8;
auth_basic off;
allow all;
proxy_pass http://client_proxy/;
proxy_ignore_headers Set-Cookie Cache-Control Expires;
proxy_hide_header "Set-Cookie";
proxy_redirect off;
proxy_set_header Host my-domain.com;
proxy_set_header X-Forwarded-Host $host;
proxy_set_header X-Forwarded-Server $host;
proxy_set_header X-Real-IP $remote_addr;
proxy_set_header X-Forwarded-For $proxy_add_x_forwarded_For;
proxy_set_header Connection "";
proxy_http_version 1.1;
proxy_connect_timeout 90s;
proxy_send_timeout 90s;
proxy_read_timeout 90s;
proxy_buffer_size 4k;
proxy_buffers 4 32k;
proxy_busy_buffers_size 64k;
proxy_temp_file_write_size 64k;
send_timeout 90s;
}
}
Nginx B (Web server)
server {
listen 80;
root /my/www;
index index.html;
try_files $uri $uri/ /index.html;
# ... other location blocks which are irrelevant here
}

Answer 1

As stated by Richard Smith in the comment,
remove the rewrite rule and it fixed it