Two or three potential issues I see:

Trailing slash: When you have…

rewrite ^/index.php/(.*)$ https://mydomain.com/home permanent;

nginx is only going to match on URLs like:

• http://mydomain.com/index.php/
• http://mydomain.com/index.php/blah
• http://mydomain.com/index.php/?param=blah

Remove the trailing slash to match standard URLs like the ones you listed

rewrite ^/index.php(.*)$ https://mydomain.com/home permanent;

WWW/Non-WWW: if you want one server block to catch WWW/Non-WWW, you have to make sure your server_name block is catching both:

server_name www.mydomain.com mydomain.com;

or to catch all host variants:

server_name _;

HTTP/HTTPS: You may also need to ensure your server block is catching requests on HTTP port (80) and HTTPS (443). You should have listen lines that include ports 80 and 443

listen 80 default_server;
listen [::]:80 default_server ipv6only=on;
listen 443 ssl;
listen [::]:443 ssl;

(they don’t always look exactly like this, for example ipv6only=on; isn’t always there.) The reason there are two lines for each is [::]:80 is matching port 80 in an IPV6 request.