Name does not appear in top right corner in iCloud and incorrect time zone is set The times in my iCloud calendar are all wrong.

The answer I found to fix this is to click on my name in top right hand corner — only problem is that my name does not appear there and I can find nowhere to access settings for the time zone.

iCould currently shows "Pacific time zone" and I need it to be set to "Australian Eastern Summer time".
I suspect you missed a step on the answer you were looking at - you should be doing this on the iCloud site, not in iCal.

Goto iCloud.com, log in, then you should see your name in the top right corner:


Click there, and you should get an account preferences pop-up where you can set your time zone info: