modem/router > switch > multiple routers?

I have my house wired with cat 5 ruing to 7 rooms from the electrical panel

the ISP will come and install their modem which has a built in wireless router and wired ports (4 ports) by the electrical panel.

I want to coect the ISP's modem/router to the switch, which will be coected to the 7 rooms

I want to put wireless AC access points in rooms 1, 3, and 5, However, I also want the outlet in rooms 1, 3 and 5 to have a router/switch that will enable me to hard wire my various devices within those rooms....

Can I put regular wireless ac routers with wired ports at the end of the drops coected to the switch?

and of course, I want all 3 wireless routers at the end of the drops to broadcast the same wifi SSID so my wireless devices coect to the closest router....

is this possible?