Are you using OpenDNS? Is the Chat category blocked by OpenDNS?
To diagnose the problem:
1. Put the IPAD in a profile with parental control disabled first. Are you able to use FaceTime and Messaging?
2. Turn on parental control for the profile. Turn off “block literal IP…”, “Block proxy…”, etc. Choose System Default for DNS. Are you able to use FaceTime and Messaging?
3. Change DNS to OpenDNS and test again.
I there any updates to this? I am having the same problems. With access control turned off, facetime work fine. Turn on access control and facetime partially works, some video, some audio, some freezing.