Thanks for the log files!
I'm seeing some network connection errors in the log file. I suspect these are attributing to this issue.
20161024T075432 E Network failed request - response NOT OK: https://developer.api.autodesk.com/wipdata-serv/storage/v3/system ...response: HTTP/1.1 401 Unauthorized
20161024T081035 I XHR Fail: GET https://pstatic.autodesk360.com/static/16052015.1.r106/communities/images/default_group.png?oauth_co... Code :6 Error: Not Found [404] Response:[object ArrayBuffer]
At some point, I see a spot where the subscription updates to student, but I still suspect the network issues may be contributing to the issue.
20161024T075848 I Update Entitlement: Not Entitled -> Student
Are you running Fusion 360 on your home network or a school network? Do you know if there is a proxy server, anti-virus software, or a firewall that may impact the network communications in your current network?
Do you have any difficulties accessing the below webpage in a web browser?
https://developer.api.autodesk.com/wipdata-serv/storage/v3/system
Do you have any trouble creating, uploading, or saving design?
I look forward to your reply.
Thanks,
Nathan Chandler
Principal Specialist