[bgedition]

I presume your web server is hosted. You could ask the support team of the host company. Or may be the .htaccess, that redirects, is located in the directory where public_html is or may be your web server is not Apache but Nginx in which case .htaccess will not work.

Edit: I saw your edit
Change these three lines with the snippet I gave you earlier:
(These are the lines that redirect the whole traffic to https)

Code:

RewriteCond %{HTTP_HOST} ^mydomain\.ro [NC] 
RewriteCond %{SERVER_PORT} 80  
RewriteRule ^(.*)$ https://mydomain.ro/$1 [R,L]