Rosewill 4U Server Chassis Rackmount Case | 11 x 3.5 Bays, 3 x 5.25 Devices| ATX, CEB Compatible | 2 x 120mm PWM Fan, 2 x 80mm PWM Fans | 2 x USB 3.0, 1 USB-C 3.1 | Front Panel Lock | - RSV-R4200U

1 jack per room is good, but 2 runs is better and does help “future proof” it. Now so far as the rack goes, I’ve been doing a lot of research on this lately.You can probably do a rack like this https://www.amazon.com/RackPath-Network-Shelves-Standing-Capacity/dp/B0FH9VFM5G/ And a 3u case like thishttps://www.amazon.com/gp/aw/d/B09RZT7PLQ/Or a 2U like thishttps://www.amazon.com/Rosewill-Micro-ATX-Rackmount-Included-RSV-Z2600U/dp/B096WG8H6X/To house the computer and or the NAS (it’s easy and more flexible to just build a basic PC system and pack it up with drives and run something like unraid on it)Then find a switch you like with enough ports,And a pass through patch bay like thishttps://www.amazon.com/gp/aw/d/B09FZKHH2G/To tie it all together. I was looking at a rack similar to that to bolt under my desk at work to house router, and kvm and patch bay and PDU. The main thing is to remember your depth and allot for some space for cables and such. It’s a nice home rig that will scratch that itch you describe, and make your friends jealous. As per starlink, if j understand, yes. There should be a port to uplink from the starlink device to your switch. That is how I would do it.I would also make sure to plan on a repeater on those sides of the house you describe. If you wire wire this in, they give better range and speed.