The installation of InnoList in your own web server requires the support of Java Servlets/JSP by the server, e.g. Apache Tomcat/TomEE, Wildfly.
Please see the page Compatibility Deployment: Web Servers/Java for details on supported/not supported web servers. The execution in another, similar web server might work anyhow.
Intranet or Internet: The web server can run be executed in an intranet or the internet. The users connect to the installation using HTTP connections.
Mobile access: If you want to access your data using a mobile device you normally need access from the internet. When opening the pages from a mobile device the mobile variant of the user interface is selected automatically.
The deployment of the InnoList War file does not ensure that there is secure communication with the clients.
It is your responsibility to keep the infrastructure safe, according to your needs.