Your question needs more details to be answered better. However, here is some general design information.
Since you don't give any details on the patch panel, I will assume it is punch-down to RJ45 ports.
Your patch panel does not have "inputs" and "outputs". Your patch panel only has wire terminations. Each wire (going to a jack in another room) will get punched down on the patch panel, and then its RJ45 port will be connected to your hub/switch. To be clear, the patch panel is not a hub or switch that connects devices together into a single network. You need an Ethernet hub or switch to do that, with RJ45 cords from each patch panel port to a hub/switch port.
Your modem/router does have inputs and outputs, but typically only one of each. Or better said, it has an "external" or "upstream" side facing your Internet service provider, and an "internal" or "downstream" side facing your household computers. If you are talking about internet service from the Cable company, your external side is coax from the street. If you are talking about DSL service, then your external side is on twisted pair wiring (which could be connected with an RJ11 or RJ45 connector, but it is not an Ethernet signal).
Many or most routers have one Ethernet port for the "internal" side where you connect your computer(s), although some have 4 ports with a built-in hub. If you have a router with 4 internal ports, and only 4 rooms to connect up, you are all set. If you have a one-internal-port router, or you have more than 4 rooms to connect, then you need an additional hub or switch, which could have 8 to 12 ports.
You plug the internal port of the router to one port of your multi-port switch, using a normal RJ45 Ethernet cord. That is the "input" port you are thinking of. Then connect the patch panel ports to the other hub ports. Those are the "outputs" you are thinking of.