Long-term care
Automate updates and check the logs.
You're a sysadmin now. Two habits keep the machine healthy without much ongoing effort.
$ sudo apt install unattended-upgrades
$ sudo dpkg-reconfigure --priority=low unattended-upgrades
That takes care of security patches. For monitoring, occasionally skim journalctl -u nginx and /var/log/nginx/access.log. You'll see relentless bot traffic probing for exploits — that's the normal internet. What you're looking for is anything unusual: a spike in 500 errors, requests hitting paths that don't exist on your site, patterns that suggest an actual attack.
Reality check
The instant port 80 opens, bots start scanning. Most of it is noise, but it's a good reminder to keep patched. Your static site has almost no attack surface — but the web server itself is exposed, and the OS underneath it. Automated updates matter more than anything else you do.