OK I didn't read all of your problem, but it sounds like you may be on the wrong subnet or IP range, If you knwo your AP needs to be 192.168.01 set your wireless adapter manually to 192.168.0.100 and make sure your subnet is set to the routers default maybe 255.0.0.0
Then try and connect again and browse your router.
You are not getting your DNS address for some reason it may be not set to automatic on your wireless devide settings.

the main thing is that you can browse the AP home page then you are on the same network range then you can look at the settings.

I still think your main problem is lack of your primary DNS