So, I managed to get the Ipad to join the AA hotspot, but once again, I can't connect to my home wi-fi and use the AA for Airplay.

With Ethernet to router, I can.

Can I confirm with anyone reading that the AA is supposed to join a wireless network that allows one to stream music from an Iphone and the Iphone should be able to surf at the same time.

Or the AA is only supposed to be able to stream music from an Iphone via wired and also AA hotspot.