Hi Im looking for advise on setting up a network with an Archer AX72 PRO and starlink.

My starlink dish and router are located in my workshop where the connection speed is good 180mbs to the router and 200 from device to router.

my initial setup was an ethernet adapter fitted between the dish and router with the lan cable going into a switch an underground cat6 from the switch into the house and another switch connecting tv, pc , access point ect..this gave me wifi connection to the starlink router in my workshop and lan in the house. but the lan connection kept dropping out with the only way to reset was to reboot the router. 

As a work around i replaced the ethernet adapter with a tp link RE550 range extender connected to my starlink router over wifi and connected to the switch via lan giving me internet in the house.a bit of a bodge i know but it works..... although the lan speed has halved from my starlink wifi.

I am now looking to replace the RE550 with a router (ax72pro) put the starlink router in bypass mode and try the ethernet connection again hoping the speed and stability improve.as below.

firstly could you guys advise if this is the best network with the available hardware of their is a better configuration?

im not sure i need the switch from the router in the workshop or if the underground cable can connect straight into the ax72? 

ideally i would like the AX72 in the house but im not sure how this can be acheived and still have wifi and lan in the workshop?

lastly setting up the AX72 

Thanks in advance