I try delete messages and said unable to move message

Try closing the Mail app via the iPad's multitasking bar and see if you can delete them when you re-open the app : from the home screen (i.e. not with Mail 'open' on-screen) double-click the home button to bring up the taskbar, then press and hold any of the apps on the taskbar for a couple of seconds or so until they start shaking, then press the '-' in the top left of the Mail app to close it, and touch any part of the screen above the taskbar so as to stop the shaking and close the taskbar.

If that doesn't fix it then try going into Settings > Mail, Contacts, Calendars. Then select the account on the right-hand side of that screen, select Account, then Advanced, Deleted Mailbox, and under On The Server tap the 'Trash' folder so that it gets a tick against it - then come out of that series of popups by tapping on the relevant buttons at the top of them and then see if you can delete emails.

I have tried the three suggested fixes and none have helped. Any other ideas?

You've also deleted the account added it back ?

I Have that problem too. Tried everything I found online, including deleting account and add it back. No success

Still have the same problem.