There are multiple way to startup a Statup server. You want to make sure Statup is on it's own instance that is not on the same server as the applications you wish to monitor.
It doesn't look good when your Status Page goes down, I recommend a small EC2 instance so you can set it, and forget it.
You can automatically start a Statup server with automatic SSL encryption using this docker-compose file. First point your domain's DNS to the Statup server, and then run this docker-compose command with DOMAIN and EMAIL. Email is for letsencrypt services.