Software Glitch iPad 2 Caused Activation Lock
I would try contacting Apple about resetting the password on your Apple ID. Did you set up any security questions? Do you have a recovery email? Your best bet is to give them a call or live chat and tell them that you do not know the password to your account and do not have the 2WA code.

See what they say, you might be lucky enough to get it one-time reset with the right answers to their questions :)