1. There are several solutions to have wired connection for the iPad, but as this solution involve too many 3rd party gear and tools I cannot guarantee this works 100% sure. (better to ask the that question apple forums)
2. Well known routers like Netgear WNR series or Linksys WRT series and other good quality routers should work with no problems.
3. If you have the firmware updated to the current version you’ll able to use the sync feature (in your case for redundancy) then you can connect the uRemote to the master device and the slave device will follow the master.
You can find more info here: https://cymaticaudio.com/images/downloads/manuals_and_brochures/uTrack24_SyncManual.pdf