Social Media management tool

Team:Infodesk is still looking for a software tool. Functionality:

• tracking incoming messages
• authorising our users to reply using a shared SHA account
• tracking who replied to a message
• connected with, at least:
  • Twitter
  • Facebook
• Preferably tied in to helpdesk ticketing system (RT)
• preferably FLOSS, else free-as-in-beer, else sponsored, else from our budget.