WordPress redirect from wp-admin back to fron-page

What urls are entered in Settings -> General?
What type of server are you using – *nix or Windows?

• https://www.veseligsuzturs.lv
• Linux

What happens if you switch back to using the default permalink structure?

Nothing changes.
The plugins are all off and everything is like as it was right after WP installation.

[EDITED]
I even re-installed the WP, that didn’t changed anything.

You are using a custom permalink structure. Turn it off.

I mentioned before, that I also tried to turn them off, but that didn’t work too.
I retried again, still with no success!

There is no .httaccess file

You cannot use custom permalinks without an .htaccess file.

But seriously i don’t have it. Is it possible that it may be somewhere outside my hosting map (where WP is located)?

It should be in your WordPress root folder.

It isn’t there. No .httaccess file. I deleted it, but if i try to turn back on custom permalinks, they work, even if there is no .httaccess file within ROOT WP folder.

No .httaccess file. I deleted it

You deleted it! Whatever for?

Ok. The solution was to add specific rules for Ngnix:

server {
        server_name  veseligsuzturs.lv;
        rewrite ^(.*) https://www.veseligsuzturs.lv$1 permanent;
}

server {

    server_name www.domain.lv;

    root /home/domain/htdocs;
    index index.php;

    if (!-e $request_filename)
    {
        rewrite ^(.+)$ /index.php?q=$1 last;
    }

    error_page 404 /index.php;

    location ~ \.php$ {
        expires off;
        include /etc/nginx/fastcgi_params;
        fastcgi_pass  127.0.0.1:9000;
        fastcgi_index index.php;
        fastcgi_param  SCRIPT_FILENAME  /home/domain/htdocs/$fastcgi_script_name;

This worked perfectly! No .httaccess needed as it is built-in!