Rural Home network

[Enquiries]

I live in a rural brick home with Starlink internet. I plan to run 2 Ethernet ports in 7 rooms within 1 month. I want to have internet in my workshop 50 yards away.
1. What Ethernet cable, CAT5e or CAT6?
2. Managed or unmanaged network? Brand?
3. Starlink router or new router?