haproxy+tomcat

[caccamo]

Good morning, I am trying to implement a text labs with pfsense+haproxy Tomcat and pga application everything works correctly with Tomcat, but when I mount/install pega, all the traffic of the subfolder /pga, the port from https to http and I do not understand how I can act further question, how can i hide the visibility of tomcat to the outside and make it see only the exact folder internal servers:
192.168.1.201:8080/pga
192.168.1.201:8080/mailarchive
192.168.1.202:8080/pga
192.168.1.203:8080/mailarchive
now the public url is www.sito.com:10443/pga how do i make the site one i can respond to this url
pga.site.com and mailarchive.site.com
the dns and redirects and certificates all went correctly can you help me?

moreover my interest is to have a series of internal servers that at public level use different urls
test1.sito.com
test2.sito.com
test3.sito.com

all pointing to the same port (443 or 10443)

how can i redirect them to individual servers?

192.168.1.201:8080/pga
192.168.1.201:8080/mailarchive
192.168.1.202:8080/pga
192.168.1.203:8080/mailarchive