How to know what to configure, apache or nginx?

Question

Nginx

There is a VPS with nginx (frontend) + apache (backend), MySQL DBMS, FTP server, PHP (mod_php or FastCGI) and PhpMyAdmin.
Explain what to configure to use css js png jpg jpeg gif browser caching and redirect from http to https, apache or nginx?
And then how to edit the nginx config if there are no rights to touch the file via FTP?
HTTP/1.1 200 OK
Server: nginx/1.4.6 (Ubuntu)
Date: Fri, 02 Sep 2016 05:45:37 GMT
Content-Type: text/html
Connection: keep-alive
Vary: Accept-Encoding
X-Powered-By : PHP/5.5.9-1ubuntu4.19
Set-Cookie: PHPSESSID=j9mteud6fd97m3t1q6ghnke9k7; path=/; HttpOnly
Expires: Thu, 19 Nov 1981 08:52:00 GMT
Cache-Control: no-store, no-cache, must-revalidate, post-check=0, pre-check=0
Pragma: no-cache
Set-Cookie: dle_user_id=deleted; expires=Thu, 01-Jan-1970 00:00:01 GMT; Max Age=0; path=/; httponly
Set-Cookie: dle_password=deleted; expires=Thu, 01-Jan-1970 00:00:01 GMT; Max Age=0; path=/; httponly
Set-Cookie: dle_hash=deleted; expires=Thu, 01-Jan-1970 00:00:01 GMT; Max Age=0; path=/; httponly

Answer 1

Explain what to configure to use css js png jpg jpeg gif browser caching and redirect from http to https, apache or nginx?

Nginx, since clients communicate with it.

And then how to edit the nginx config if there are no rights to touch the file via FTP?

Not via FTP.

Answer 2

location ~* ^.+\.(jpg|jpeg|gif|css|png|js|ico|bmp)$ {
access_log off;
expires 10d;
break;
}
did not help, inserted via MC in SSH into the site's nginx config file