Right, we're hoping these issues are now fixed. I have access to a log of social updates attempted by your accounts now so if you have an issue still please let me know. However if you can follow these steps the first time so you're starting a fresh so to speak:
Head to the twitter app section (
https://twitter.com/settings/applications) and revoke the access TA/TT has (whichever isnt working) and either undo it to see if that works or then go into your twitter settings on here (
Twitter Settings), remove details and then authorize again.