So, does it seem to be updating now? (fingers crossed...)
If it isn't, then the specific troubleshooting for an Error 2 is:
Errors: 2, 4, 6, 9, 1611, 9006.
Sometimes security software can stop your device from communicating with either the Apple update server or with your device.
Check your security software and settings to make sure that they aren't blocking a connection to the Apple servers.
If you still see the error message, check for USB connection issues.

The Security Software link goes to here: Resolve issues between iTunes and third-party security software - Apple Support
Sorry - your additional screens weren't showing on your post above when I posted this back.
So, it looks like it is updating now?
Cheers,
GB