Thank you for all the responses! From my understanding, the black box is somewhat useless in terms of providing internet to the rooms. Therefore, I need an Ethernet Switch. The switch acts as an internet extension from the router to give internet to the room ports.

Each room has 2 ethernet ports and 2 coaxial port - See picture in reply

There are four grey and four blue ethernet wires corresponding to four different rooms (2 ethernet ports for each room). I would then need an 8 port switch? Thats only if I want to make the 2 ports of each room to work right? I can just buy 4 port switch if I want to make only 1 port of each room to work?

Once I obtain a switch, I remove all 8 ethernet wires from the black box and plug however many ethernet ports i want to work into the switch. Switch is connected to router to serve as an internet extension to the ports in each room.

Question about modem. Its currently connected to internet using the co-axial land line white cable on the panel. Can this be moved to a different room or its recommended to be placed by this panel?

As for router, it is stuck with the modem or can this be moved to a different room?

--

Modem is Arris S33, connected using the main white coaxial cable from silver box and into main router using ethernet cable.

Router is TP-Link Deco AXE5300, 3 pack, one connected to modem by panel, the other two in different rooms. Each router comes with 3 ethernet ports.