What is recommended way to set up a web server?

I have a server and I am designing some web applications. I use React as frontend framework and Rust Actix as backend framework. The backend program listens at 8000 port, and can be reached by my_domain:8000/api/xxxx.

I think I can use a web server listening at 80 port, such that if client is requesting /, then returning the frontend page, if client is requesting /api, then redirect the request to 8000 port of localhost.

My problems are:

1. Is the above way recommended in the modern web application design? Are there any other ways of hosting both frontend and backend application in the server?
2. What web server can I use? Apache, Nginx, or manually write a web server?
3. I use two docker containers to contain the frontend and backend app. Do I need to dockerize the web server as well?