Passcode locked iphone, can't back up data
Guys - My Iphone5 is passcode locked and is telling me to connect to itunes, I think I need to restore it but the problem is I haven't backed it up since Jan. 3rd and I'm worried that if I restore it I'll lose my data since that date. Also it won't let me back it up now because it's locked! Will I lose all my non-backed up data if I restore it? Is there a way to back up the iphone despite it being passcode locked? Or are there any other options for unlocking it?
Any help appreciated.
Thanks.
iPhone 5, iOS 6.1