18 separate wires is overkill for this size. It might not fit in the entrance closet.
or add fiber optic sockets too (but it's harder to find a contractor for this).
The total number of sockets is a compromise between cabling cost, space for cables, for the patch panel and for the switch(es) in the entrance closet, etc.
Usually 2 sockets per room is enough.
Where the sockets are placed is more important than the number of sockets to facilitate cable management and aesthetic. It's usually more future proof to have 2 sockets , one on each opposite walls then 2 sockets next to each other on the same wall.
If you need more sockets in a room you can just add a small fanless switch (with 10 Gbps uplink if needed). Also a big central switch might not fit in the entrance closet (bigger switches are also usually noisy to very noisy).
Given the drawing, the minimum needed is:
Office: 2 wall sockets (top right corner and middle left)
Room 2: 1 wall socket (top right)
Common room: 2 wall sockets (but even 1 would probably be enough if all the devices are in the same spot). (near TV and one top right or top right)
and also at least 1 socket in room 1.
To have 10 Gbps in a room, you'll need either to use a direct socket to the central switch or a local switch with a 10 Gbps uplink and at least a downlink 10 Gbps port.
Beware to no use a noisy switch in a room.
ofc, If you can afford it and if everything fit in the entrance closet then go for more sockets per room.