Eddy
4
Yes you do have a modem.
Without it you can’t even connect to the Internet.
What you think is a router is in fact a multi-device.
Modem, router and likely also firewall in one device.
http://searchnetworking.techtarget.com/definition/PPPoE
Ofcourse there are things blocked when you set the firewall to “Public” as a public access point has more risks.