Can you clarify? Is it connect to the Internet now?
OK after you login go to System Preferences / Users & Groups choose your account then on the right select Change Password ***** then select Use Separate Password ***** create a new one that is not your Apple ID
OK that is what I meant by clarify I am unlcear.... If you ARE connected to WiFi will it then let you log in?
Reboot into the Recovery HD by choosing the ‘Apple‘ menu > Restart, then hold down the ‘Command’ + R’ keys on the keyboard during the start up process. When you see the Apple Logo you can let go. When the machine boots you may have to choose your language then you will see the OS X Utilities screen. Select the Disk Utility and then select Continue. Then in Disk Utility select Macintosh HD in the left column (if there are two with that name or it is named something else choose the first indented item) and then select Verify Disk on the right. If that says “OK” in green type then select Repair Disk Permissions. If it is not ok let me know.
Or just hold the power button for 10 seconds
Please try again make sure you hold Command’ + R’ keys right after you hear the startup chime and keep holding them
Or try this: Restart the computer and immediately hold the Shift key until you see the Apple Logo. This is called Safe Boot and it will attempt repairs. If you get to the login screen put in your user/pass then when it boots up, restart the normal way. Let me know what happens after.