Hello,
Thank you for reaching out!
As for the first part of the question - Feed the RUTX12 and RUTX11 with the TSW110, TSW110 does not support passive PoE out, it cannot be used to power the RUTX12 and RUTX11. While some of our switches do support PoE out, they are of type 802.3af/at, also known as active PoE, and cannot be used to power any of our devices.
As for using the RUTX12 as a WAN source for RUTX11, that would in fact be possible. One thing to make sure of is that the LAN subnets do not match between these devices, as their default LAN subnets are 192.168.1.0/24. I'd also recommend checking out this article, as it guides through DHCP relay configuration. This way, clients of the RUTX11 will receive IP addresses from RUTX12.
Is it possible to connect poe power from the TSW110 and power from the BAT120 at the same time in the RUTXs?
As mentioned, TSW110 does not support PoE out, and even if TSW100 was used, it only outputs active PoE, which is not supported by our routers.
Hope this cleared a few things up! Let me know if there are any further questions!
Best regards,
DaumantasG