The last time I had an issue like this was with my mum's Kindle, had to factory-reset my router to sort it out.
Don't think I can help you though as my T1 connected to my router first time and has been fine ever since.
I'm using 802.11n with WPA TKIP+AES, you could try a factory reset on the router, the T1 or both of them. I don't know your set-up so can't say how convenient that would be.
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