Nginx, caddy and haproxy are 3 choice for reverse proxy. The way a reverse proxy works is it looks on port 80 and 443 for requests to a DNS connection. Like say you want to go to jellyfin you may have a DNS entry for jellyfin.personalsite.tld the reverse proxy will then take that and redirect the connection to the proper port and server behind your firewall. You do not need multiple reverse proxies. In the case of haproxy and nginx (only ones I have experience with) you create a “back end connection” like explained above and it will redirect. In the case of nginx it is very small I installed it natively and setup configs for each of my services for easy maintenance.
There are a few things about jellyfin that I don’t like compared to Plex. First I can’t skip the intro of a show drives me nuts. The second one is it has newly added but not newly released. Other then that it has been really good.