Nginx Reverse Proxy with HTTPS not working - amazon-web-services

Question

I had successfully got the cert of my SSL and now I was trying to implement it into my AWS server with NGINX reserve proxy setup, here is the config file:
server {
listen 80;
server_name example.com;
return 301 https://www.example.com$request_uri;
}
server {
listen 443 ssl;
ssl_certificate /etc/nginx/ssl/cert_chain.crt;
ssl_certificate_key /etc/nginx/ssl/website.key;
server_name ~^(?<subdomain>.+)\.example\.com$;
location / {
proxy_pass http://www.example.com:8888;
proxy_http_version 1.1;
proxy_set_header Upgrade $http_upgrade;
proxy_set_header Connection 'upgrade';
proxy_set_header Host $subdomain.example.com;
proxy_cache_bypass $http_upgrade;
}
}
If I change the setting to listen to port 80 then it's working fine. I had enabled port 443 in AWS security group and here is the result of netstat -tulpn | grep 443:
(Not all processes could be identified, non-owned process info
will not be shown, you would have to be root to see it all.)
tcp 0 0 0.0.0.0:443 0.0.0.0:* LISTEN -
So it means it's listening to port 443 already right? I also ensured that the nginx was run as root using ps aux|grep nginx|grep -v grep:
root 11567 0.0 0.3 177080 3060 ? Ss 09:36 0:00 nginx: master process /usr/sbin/nginx -g daemon on; master_process on;
www-data 11568 0.0 0.7 177344 7568 ? S 09:36 0:00 nginx: worker process
I had checked the Nginx error log and it got nothing inside, but when I access my url with https it just showing that it took too long to respond. Anyone able to help? Thank you.
UPDATE
Here is the result of lsof -i:443:
COMMAND PID USER FD TYPE DEVICE SIZE/OFF NODE NAME
ruby 1067 root 8u IPv4 2613507 0t0 TCP ip-xxx-xx-xx-xx.us-west-2.compute.internal:49112->xxx-xx-xx-xx:https (ESTABLISHED)
ruby 1067 root 10u IPv4 2552314 0t0 TCP ip-xxx-xx-xx-xx.us-west-2.compute.internal:43384->s3-us-west-2-r-w.amazonaws.com:https (CLOSE_WAIT)
nginx 12571 root 7u IPv4 2592465 0t0 TCP *:https (LISTEN)
nginx 12572 www-data 7u IPv4 2592465 0t0 TCP *:https (LISTEN)
aws 26403 root 14u IPv4 1903428 0t0 TCP ip-xxx-xx-xx-xx.us-west-2.compute.internal:39960->xxx-xx-xx-xx:https (CLOSE_WAIT)
aws 26403 root 15u IPv4 2613578 0t0 TCP ip-xxx-xx-xx-xx.us-west-2.compute.internal:55192->xxx-xx-xx-xx:https (CLOSE_WAIT)