Okay. Changing the password for your AOL account first, then adding the account to your tablet should resolve this issue all right.
In order to set a new password for your AOL account, please carry out the following steps:
Sign in at password.aol.com
Next, answer your Account Security Question. If you forgot the answer to your Security Question, click Forgot Answer on the Security Question page to reset it.
You’re in. Using the drop-down menu, select the Username for which you want to change the password.
Under Change Password, type your new password in the text box. Type it again in the Confirm Password box, then click 'Save'.
Done that, add the account with the new password to your device one more time. Make sure to include your FULL email address as the account name.
Do keep me posted. Thank you.