NAT for Internal Servers for Internet Access - Default Route

192.168.1.192 is the network address, and you are using as default gateway as well. You need to change that.

The unknown status is correct because the virtual server has no pool. A forward IP virtual server does not have pool.

Your configuration is correct, just a forward IP virtual server, with 0.0.0.0 as destination. You could have port 80 to limit to HTTP traffic as you have, or you could have 0 (all ports) to allow all traffic. Also, as you have the source address can be limited to the source network only. If you have all ports, you could then limit the ports in a firewall in the path to the internet or AFM if you have license.

You can use the snat pool in the virtual server configuration, or snat auto map in case you want to use the F5 self IP.

I use similar configuration in my lab (with auto map), to provide access to the backend servers that are behind the F5:

root@(LABBIGIP1)(cfg-sync In Sync)(Active)(/Common)(tmos) list ltm virtual vs_internet
ltm virtual vs_internet {
    destination 0.0.0.0:any
    ip-forward
    mask any
    profiles {
        fastL4 { }
    }
    source 172.16.0.0/24
    source-address-translation {
        type automap
    }
    translate-address disabled
    translate-port disabled
    vlans {
        internal
    }
    vlans-enabled
    vs-index 30
}

I am using 13.0.0 in my lab, but this configuration work in your version for sure.

Your configuration should work, just change the F5 IP and default gateway IPs in the servers.