Switch is a box where it will be auto detect on the connection and may required separate power adapter/source.
DB box junction do have Data Points for connection to the other data points with marking on number assigned to other rooms &or locations.
Your description is more on data points and LAN 1 & 2 refer to rooms data point location.
ONT -> Main Router --> Data Points LAN: 1 | 2 | others 3,4,5.
|- Room 1 - Data point -> AP router 1
|- Room 2 - Data point -> AP router 2
DLink DIR-868L is AC1750 router which is the best of the 3 routers in term of specification.
Xiaomi Router 3 is lowest of the 3 routers due to specification.
For more info on issues refer to >
Xiaomi Router 3 - Slow speed issues - any found a fix?
There is a general discussion of >
Xiaomi's Routers! - if you want to read further.
Wireless signal will depend on the bandwidth on either 2.4GHz or 5GHz.
Read >
Wireless Technologies & Limitations Wi-Fi
Getting 80Mbps for other routers mentioned in your post could be due to using 2.4GHz bandwidth &or SSID.
If you set the phone on 5GHz SSID then wireless signal from DIR-868L should give you the same or better speed as main router.
Xiaomi Router 3 limitation - refer to link.