File Auditing & Reporting -- Windows Server 2012

What is a good "Windows Server 2012
File Auditing & Reporting" way to determine
where a file was moved to and last modified at,
if NOT found, what day it was deleted ?
------------------------------------------------------
 Example Timeline
   ** 1/21/14 = user saves to
                \\filesrvr\filename.doc
   ** 2/12/14 = another user moves to
                \\filesrvr\foldername\filename.doc
   ** 3/22/14 = another user deletes from
                \\filesrvr\foldername\filename.doc
   ** 4/15/14 = another user tells me to restore
                \\filesrvr\filename.doc to
                most current version

 I somehow need to know that 3/21/14 is the most current
 \\filesrvr\filename.doc file, even when it is really at
 \\filesrvr\foldername\filename.doc
------------------------------------------------------
Software Requirements
  ** two Windows Server 2012 file servers
  ** software under $500 if possible

  1. open "File Auditing & Reporting" software
  2. click SEARCH
  3. enter "\\filesrvr\filename.doc" & "last 90 days"
  4. click RUN
  5. report shows everything
     that happened to this file
        ** deletes
        ** moves
        ** cut/paste
        ** etc
------------------------------------------------------
Examples
  ** Microsoft System Center 2012, Audit Collection Services (ACS)
  ** http://www.poweradmin.com/file-sight
  ** http://www.lepide.com/file-server-audit
  ** http://www.isdecisions.com/products/fileaudit
  ** http://www.waterfordtechnologies.com/file-management/file-analyzer
  ** http://www.netwrix.com/file_server_reporting.html
  ** http://www.netfort.com/solutions/file-activity
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