I’m a bit late to this thread, but I do this type of thing for work (on a different scale).
Lots of text to follow… TL;DR - CAT6 is my recommendation (check the link) and don’t trust the second HDD in your NAS as a backup unless the data isn’t critical.
First some thoughts: 2 Bay NASs are pretty good for your use case, but a mirrored drive is not a “backup”. Mirrored drives (RAID1 in this case) are for continuity, not disaster recovery. It is possible to lose both at the same time and without a proper backup you would be sad. I always tell people to follow the 3,2,1 rule for any data that is critical:
3 copies of the data, 2 different mediums (disk, tape, cloud, DVD, etc), 1 copy offsite.
In your case, you have LTE internet which likely has a data limit or speed limit. As you’ve mentioned, cloud isn’t really an option you would consider.
You can network your devices with a wired connection or over the existing Wi-Fi network. Wired networks tend to me bore reliable and faster as a rule, and Wi-Fi is more convenient for non-fixed location devices like a cell phone or a laptop. If you plugged the NAS into an ethernet port on on your cellular modem/router/wireless access point combo unit (sometimes called a “gateway” by the ISP) it would be available to anything on your network (wired or otherwise) and should be functional in this configuration.
If you wanted to connect several other devices with wired connections, you may not have enough ports on your gateway device to do so, and you would need a network switch.
If you want to keep your NAS inaccessible to the main Wi-Fi network, the easiest way would be to use a guest Wi-Fi network for non-trusted devices if your gateway has that functionality. If it doesn’t, you can get an access point that does.
What I do at my house is I have several different VLANs (virtual LAN) that separate devices I want to keep more secure or to keep certain devices from snooping (smart home devices, visitors, etc). Setting this up takes a bit more equipment, and if budget/time is a concern, it is probably not the best path to take in your case.
On your question about the cable:
I’d recommend CAT6 cable like this: Amazon.com
They have lots of length and color options, and I like the “flexboot” style connectors. I have these installed all over and they’ve been great. You can get them directly from Monoprice, but I shared the Amazon link since that is what you had listed.
CAT6 can do 10G, but I’d bet your equipment is only 1G anyway. CAT5E is capable of 1G, but the price difference between quality CAT5E and CAT6 isn’t that much for a few cables. As was previously mentioned, CAT8 isn’t a “real” thing at the moment anyway. If I install permanent cable for a business these days I use CAT6.
You can install the cable in your walls and run it through an attic or crawlspace. If you want to go that route, you need solid wire instead of stranded, and that typically comes in a big spool or a box. You also need special tools to terminate the cable, so if you only need a couple of runs, I’d go with the pre-made cables above.
I’m happy to answer questions you may have, and provide recommendations on hardware if needed.
EDIT: UPS is a good call, but match the output and runtimes for your needs. those little powerstrip style UPSs work ok for a router, but you probably need something bigger for the NAS if you have a longer power outage. APC/Schneider has a calculator on their website for sizing a UPS.