My T1 went bonkers once and I was in the middle of reading a library book. I had to reset it and reauthorize it with both Sony & Adobe on the device. It still wouldn't let me read the book. I had to redownload it from the library then it was fine.
No, I don't believe you can authorize the device without a Sony account. That's part of the process of authorizing. Again, if I remember correctly. In order to authorize it you have to make the account which connects the device to Sony to authorize.
I should add that the other books were fine to read after reauthorizing but not the library books. I had to redownload it after I reauthorized it.