Vivitar ipad MDI0050513

The password is incorrect. Remember these password need to be exact, capitalization is usually the culprit.

Next, you Apple ID may be different from the iTunes password.

You should be able to recover either through Apple support.

You can find help at the link provided. Forgot passcode for your iPhone iPad or iPod touch or your device is...

If you have synced your iPad with iTunes before you forget your password, you can reset your iPad by using iTunes without losing data. Through iTunes, you can restore your iPad from the last backup and remove the passcode from your locked tablet while retaining your data. If iTunes asks you to enter the passcode, try another computer. Otherwise, you have to follow the reset iPad Passcode with Recovery Mode section below.

Step 1. Connect your iPad to the computer with via a USB cable that your iPad has trusted.
Step 2. Launch iTunes. If you've synced your iPad with iTunes, then no "enter password" is required.
Step 3. iTunes will automatically sync your iPad and create a backup file. If it doesn't, you should sync your iTunes and create a backup file manually by in the Summary window.
Step 4. In the Summary window, you can see the option "Restore iPhone". Click it and follow prompts to choose the latest iTunes backup to restore your iPhone.

After the restoration process is complete, your passcode will be erased and all your data will be restored from your backup. You will now be able to access your iPad without any passcode. And you can set your new password on iPad.

http://www.leawo.org/tutorial/how-to-reset-password-on-iphone.html

You can use forgot password option in the IPad where your twitter account is not working properly.
Then reset your password and login to twitter using the same IPad which was having problem.
Getting started with Twitter for iPad
The last section of this link provides you with information on resetting your password.
If in case the problem persists then it must be an Apple problem.

Make sure you delete the previous account and you are connected to wifi during that process.

Can you log in from another PC and change profile settings?

You will have to test it on a computer, and maybe change it because the password seems to not transfer over

You will have to go to iCloud and click on "forgot my password" and will get an e-mail to reset a new one.

If you need to reset your iPad password, click here:
HT4623 password reset

Hello,

I've seen this happen with mobile devices sometimes, do you have any special characters? Make sure you're putting each character of your password in correctly. If you're certain that you are, log back in to your laptop and change your Exchange password to something simple like Password123. Wait about 20 minutes (it can take time for the password change to take effect across the domain) and try logging in with this new password. If it works, it was the password. If not, the issue may be on the iPad.

If that's the case, try removing the account from your iPad and re-adding your Exchange account. Hope this helps.