I can access the gateway (192.168.1.1) and RUTXR1 AP (192.168.1.2) via both 802.11 and Ethernet, but cannot access the rest of the InterNet via 802.11, yet can via Ethernet.
The main issues here are that the default gateway configured on your PC points to a non-existent host (0.0.0.0). It should be the IP address of your router, which looks to be 192.168.1.1 from the RUTX screenshots.
Additionally, DNS should be specified on your PC, as if you’re not using DHCP, you will not obtain the DNS list automatically. For testing, you can use 1.1.1.1 or 8.8.8.8, but if you’re planning on using internal hostnames, you’ll need to specify the address of your DNS resolver (most likely the router - 192.168.1.1).
However, it’s working now (although I recall it being DHCP whilst not working) so I’ll mark what you stated as the solution. Apologies for being dim enough not to even notice the gateway column somehow.