Hello, thanks for your reply.
You were right, the problem was that the driver for these specific Ethernet ports were not installed by default on OpenWRT. So I did a little search and used lspci
on my live USB and found out that I need to install kmod-sky2
and it worked.
I'm leaving this reply and this link here for anyone in the future who may have a similar problem.
I followed instructions from this post to find the kmod package that I needed: Ethernet ports not functioning x86 - #8 by NC1
Also, I appreciate your concerns about power usage and I carefully read your comments about getting a newer device. I'm just experimenting with OpenWRT and checking if it is a viable solution for my problem; so using my old PC as a router is a temporary measure, I'm intending to purchase a new device (perhaps a modem+router) in the future.
Thanks again for your time, it helped a lot.