HT1711 I don't know my password and iTunes won't back it up without it.

Question

Yesterday I took my password off of my phone and this morning when I was turning it back on I typed in the wrong password so it reset it to whatever I had actually wrote and I have no idea what I wrote so I ended up locking it for an hour before giving up on guessing what the password was. And now when its plugged into iTunes it won't back it up because there is a password on it! I've done a lot of stuff in my notes since the last time I plugged it into iTunes (which was a month ago or something, I'm rearly on my computer).
I've tried to restore my phone three times already and it's not working because I'm trying to restore it with the 5.1.1 firmware because I still haven't updated my phone because I really don't like the 6.0.1 update and every time is says that there is an error but when I go to the linked site that says how to fix the error nothing is working for me! And even if I do restore it with the 6.0.1 update I will still lose everything from my notes!
Can someone please tell me how to get everything back to normal!!!! (By the way I have an iPhone 4S)

Answer 1

If the user account is associated with an Apple ID, and you know the Apple ID password, then maybe the Apple ID can be used to reset your user account password.
Otherwise, boot into Recovery mode. When the OS X Utilities screen appears, select
Utilities ▹ Terminal
from the menu bar. In the Terminal window, type this:
res
Press the tab key. The partial command you typed will automatically be completed to this:
resetpassword
Press return. A Reset Password window opens.
Select your boot volume ("Macintosh HD," unless you gave it a different name) if not already selected.
Select your username from the menu labeled Select the user account if not already selected.
Follow the prompts to reset the password. It's safest to choose a password that includes only the characters a-z, A-Z, and 0-9.
Select
 ▹ Restart
from the menu bar.
You should now be able to log in with the new password, but your Keychain will be reset (empty.) If you've forgotten the Keychain password (which is ordinarily the same as your login password), there's no way to recover it.